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Finding the Third Proportional to 151,139.25 and 329,909.63

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Solution

The third proportional to 151,139.25 and 329,909.63 is: 720,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,139.25 : 329,909.63 = 329,909.63 : x
  2. Step 2: Convert to fraction form
    151,139.25/329,909.63 = 329,909.63/x
  3. Step 3: Cross multiply
    151,139.25x = 329,909.63 × 329,909.63
  4. Step 4: Simplify right side
    151,139.25x = 108,840,360,667.64
  5. Step 5: Solve for x
    x = 108,840,360,667.64/151,139.25
  6. Step 6: Final answer
    x = 720,132.99

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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.