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Finding the Third Proportional to 171,702 and 252,411

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Solution

The third proportional to 171,702 and 252,411 is: 371,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,702 : 252,411 = 252,411 : x
  2. Step 2: Convert to fraction form
    171,702/252,411 = 252,411/x
  3. Step 3: Cross multiply
    171,702x = 252,411 × 252,411
  4. Step 4: Simplify right side
    171,702x = 63,711,312,921
  5. Step 5: Solve for x
    x = 63,711,312,921/171,702
  6. Step 6: Final answer
    x = 371,057.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.