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Finding the Third Proportional to 132,233.50 and 290,708

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Solution

The third proportional to 132,233.50 and 290,708 is: 639,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,233.50 : 290,708 = 290,708 : x
  2. Step 2: Convert to fraction form
    132,233.50/290,708 = 290,708/x
  3. Step 3: Cross multiply
    132,233.50x = 290,708 × 290,708
  4. Step 4: Simplify right side
    132,233.50x = 84,511,141,264
  5. Step 5: Solve for x
    x = 84,511,141,264/132,233.50
  6. Step 6: Final answer
    x = 639,105.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.