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Finding the Third Proportional to 140,160 and 217,623

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Solution

The third proportional to 140,160 and 217,623 is: 337,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,160 : 217,623 = 217,623 : x
  2. Step 2: Convert to fraction form
    140,160/217,623 = 217,623/x
  3. Step 3: Cross multiply
    140,160x = 217,623 × 217,623
  4. Step 4: Simplify right side
    140,160x = 47,359,770,129
  5. Step 5: Solve for x
    x = 47,359,770,129/140,160
  6. Step 6: Final answer
    x = 337,897.90

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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.