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Finding the Third Proportional to 171,536 and 260,569

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Solution

The third proportional to 171,536 and 260,569 is: 395,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,536 : 260,569 = 260,569 : x
  2. Step 2: Convert to fraction form
    171,536/260,569 = 260,569/x
  3. Step 3: Cross multiply
    171,536x = 260,569 × 260,569
  4. Step 4: Simplify right side
    171,536x = 67,896,203,761
  5. Step 5: Solve for x
    x = 67,896,203,761/171,536
  6. Step 6: Final answer
    x = 395,813.15

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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.