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Finding the Third Proportional to 232,499.74 and 329,077.69

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Solution

The third proportional to 232,499.74 and 329,077.69 is: 465,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,499.74 : 329,077.69 = 329,077.69 : x
  2. Step 2: Convert to fraction form
    232,499.74/329,077.69 = 329,077.69/x
  3. Step 3: Cross multiply
    232,499.74x = 329,077.69 × 329,077.69
  4. Step 4: Simplify right side
    232,499.74x = 108,292,124,410.35
  5. Step 5: Solve for x
    x = 108,292,124,410.35/232,499.74
  6. Step 6: Final answer
    x = 465,773.09

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.