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Finding the Third Proportional to 171,562 and 260,260

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Solution

The third proportional to 171,562 and 260,260 is: 394,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,562 : 260,260 = 260,260 : x
  2. Step 2: Convert to fraction form
    171,562/260,260 = 260,260/x
  3. Step 3: Cross multiply
    171,562x = 260,260 × 260,260
  4. Step 4: Simplify right side
    171,562x = 67,735,267,600
  5. Step 5: Solve for x
    x = 67,735,267,600/171,562
  6. Step 6: Final answer
    x = 394,815.10

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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.