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Finding the Third Proportional to 153,060 and 229,744

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Solution

The third proportional to 153,060 and 229,744 is: 344,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,060 : 229,744 = 229,744 : x
  2. Step 2: Convert to fraction form
    153,060/229,744 = 229,744/x
  3. Step 3: Cross multiply
    153,060x = 229,744 × 229,744
  4. Step 4: Simplify right side
    153,060x = 52,782,305,536
  5. Step 5: Solve for x
    x = 52,782,305,536/153,060
  6. Step 6: Final answer
    x = 344,847.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.