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Finding the Third Proportional to 159,092 and 215,294

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Solution

The third proportional to 159,092 and 215,294 is: 291,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,092 : 215,294 = 215,294 : x
  2. Step 2: Convert to fraction form
    159,092/215,294 = 215,294/x
  3. Step 3: Cross multiply
    159,092x = 215,294 × 215,294
  4. Step 4: Simplify right side
    159,092x = 46,351,506,436
  5. Step 5: Solve for x
    x = 46,351,506,436/159,092
  6. Step 6: Final answer
    x = 291,350.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.