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Finding the Third Proportional to 151,141.88 and 329,914.50

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Solution

The third proportional to 151,141.88 and 329,914.50 is: 720,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,141.88 : 329,914.50 = 329,914.50 : x
  2. Step 2: Convert to fraction form
    151,141.88/329,914.50 = 329,914.50/x
  3. Step 3: Cross multiply
    151,141.88x = 329,914.50 × 329,914.50
  4. Step 4: Simplify right side
    151,141.88x = 108,843,577,310.25
  5. Step 5: Solve for x
    x = 108,843,577,310.25/151,141.88
  6. Step 6: Final answer
    x = 720,141.77

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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.