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Finding the Third Proportional to 171,693 and 252,402

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Solution

The third proportional to 171,693 and 252,402 is: 371,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,693 : 252,402 = 252,402 : x
  2. Step 2: Convert to fraction form
    171,693/252,402 = 252,402/x
  3. Step 3: Cross multiply
    171,693x = 252,402 × 252,402
  4. Step 4: Simplify right side
    171,693x = 63,706,769,604
  5. Step 5: Solve for x
    x = 63,706,769,604/171,693
  6. Step 6: Final answer
    x = 371,050.48

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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.