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Finding the Third Proportional to 159,024 and 215,204

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Solution

The third proportional to 159,024 and 215,204 is: 291,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,024 : 215,204 = 215,204 : x
  2. Step 2: Convert to fraction form
    159,024/215,204 = 215,204/x
  3. Step 3: Cross multiply
    159,024x = 215,204 × 215,204
  4. Step 4: Simplify right side
    159,024x = 46,312,761,616
  5. Step 5: Solve for x
    x = 46,312,761,616/159,024
  6. Step 6: Final answer
    x = 291,231.27

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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.