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Finding the Third Proportional to 140,712 and 217,588

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Solution

The third proportional to 140,712 and 217,588 is: 336,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,712 : 217,588 = 217,588 : x
  2. Step 2: Convert to fraction form
    140,712/217,588 = 217,588/x
  3. Step 3: Cross multiply
    140,712x = 217,588 × 217,588
  4. Step 4: Simplify right side
    140,712x = 47,344,537,744
  5. Step 5: Solve for x
    x = 47,344,537,744/140,712
  6. Step 6: Final answer
    x = 336,464.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.