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Finding the Third Proportional to 147,760.88 and 234,011.53

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Solution

The third proportional to 147,760.88 and 234,011.53 is: 370,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,760.88 : 234,011.53 = 234,011.53 : x
  2. Step 2: Convert to fraction form
    147,760.88/234,011.53 = 234,011.53/x
  3. Step 3: Cross multiply
    147,760.88x = 234,011.53 × 234,011.53
  4. Step 4: Simplify right side
    147,760.88x = 54,761,396,757.97
  5. Step 5: Solve for x
    x = 54,761,396,757.97/147,760.88
  6. Step 6: Final answer
    x = 370,608.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.