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Finding the Third Proportional to 151,238.50 and 329,148.25

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Solution

The third proportional to 151,238.50 and 329,148.25 is: 716,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,238.50 : 329,148.25 = 329,148.25 : x
  2. Step 2: Convert to fraction form
    151,238.50/329,148.25 = 329,148.25/x
  3. Step 3: Cross multiply
    151,238.50x = 329,148.25 × 329,148.25
  4. Step 4: Simplify right side
    151,238.50x = 108,338,567,906.60
  5. Step 5: Solve for x
    x = 108,338,567,906.60/151,238.50
  6. Step 6: Final answer
    x = 716,342.54

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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.