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Finding the Third Proportional to 174,471 and 261,699

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Solution

The third proportional to 174,471 and 261,699 is: 392,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,471 : 261,699 = 261,699 : x
  2. Step 2: Convert to fraction form
    174,471/261,699 = 261,699/x
  3. Step 3: Cross multiply
    174,471x = 261,699 × 261,699
  4. Step 4: Simplify right side
    174,471x = 68,486,366,601
  5. Step 5: Solve for x
    x = 68,486,366,601/174,471
  6. Step 6: Final answer
    x = 392,537.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.