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Finding the Third Proportional to 234,034.50 and 353,118

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Solution

The third proportional to 234,034.50 and 353,118 is: 532,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,034.50 : 353,118 = 353,118 : x
  2. Step 2: Convert to fraction form
    234,034.50/353,118 = 353,118/x
  3. Step 3: Cross multiply
    234,034.50x = 353,118 × 353,118
  4. Step 4: Simplify right side
    234,034.50x = 124,692,321,924
  5. Step 5: Solve for x
    x = 124,692,321,924/234,034.50
  6. Step 6: Final answer
    x = 532,794.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.