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Finding the Third Proportional to 171,267,424 and 260,916,252

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Solution

The third proportional to 171,267,424 and 260,916,252 is: 397,491,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,267,424 : 260,916,252 = 260,916,252 : x
  2. Step 2: Convert to fraction form
    171,267,424/260,916,252 = 260,916,252/x
  3. Step 3: Cross multiply
    171,267,424x = 260,916,252 × 260,916,252
  4. Step 4: Simplify right side
    171,267,424x = 68,077,290,557,727,504
  5. Step 5: Solve for x
    x = 68,077,290,557,727,504/171,267,424
  6. Step 6: Final answer
    x = 397,491,180.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.