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Finding the Third Proportional to 147,708 and 234,481.50

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Solution

The third proportional to 147,708 and 234,481.50 is: 372,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,708 : 234,481.50 = 234,481.50 : x
  2. Step 2: Convert to fraction form
    147,708/234,481.50 = 234,481.50/x
  3. Step 3: Cross multiply
    147,708x = 234,481.50 × 234,481.50
  4. Step 4: Simplify right side
    147,708x = 54,981,573,842.25
  5. Step 5: Solve for x
    x = 54,981,573,842.25/147,708
  6. Step 6: Final answer
    x = 372,231.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.