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Finding the Third Proportional to 151,009.31 and 329,148.56

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Solution

The third proportional to 151,009.31 and 329,148.56 is: 717,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,009.31 : 329,148.56 = 329,148.56 : x
  2. Step 2: Convert to fraction form
    151,009.31/329,148.56 = 329,148.56/x
  3. Step 3: Cross multiply
    151,009.31x = 329,148.56 × 329,148.56
  4. Step 4: Simplify right side
    151,009.31x = 108,338,776,195.82
  5. Step 5: Solve for x
    x = 108,338,776,195.82/151,009.31
  6. Step 6: Final answer
    x = 717,431.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.