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Finding the Third Proportional to 141,092 and 218,646

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Solution

The third proportional to 141,092 and 218,646 is: 338,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,092 : 218,646 = 218,646 : x
  2. Step 2: Convert to fraction form
    141,092/218,646 = 218,646/x
  3. Step 3: Cross multiply
    141,092x = 218,646 × 218,646
  4. Step 4: Simplify right side
    141,092x = 47,806,073,316
  5. Step 5: Solve for x
    x = 47,806,073,316/141,092
  6. Step 6: Final answer
    x = 338,829.09

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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.