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Finding the Third Proportional to 171,781 and 252,534

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Solution

The third proportional to 171,781 and 252,534 is: 371,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,781 : 252,534 = 252,534 : x
  2. Step 2: Convert to fraction form
    171,781/252,534 = 252,534/x
  3. Step 3: Cross multiply
    171,781x = 252,534 × 252,534
  4. Step 4: Simplify right side
    171,781x = 63,773,421,156
  5. Step 5: Solve for x
    x = 63,773,421,156/171,781
  6. Step 6: Final answer
    x = 371,248.40

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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.