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Finding the Third Proportional to 148,943.81 and 327,951.28

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Solution

The third proportional to 148,943.81 and 327,951.28 is: 722,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,943.81 : 327,951.28 = 327,951.28 : x
  2. Step 2: Convert to fraction form
    148,943.81/327,951.28 = 327,951.28/x
  3. Step 3: Cross multiply
    148,943.81x = 327,951.28 × 327,951.28
  4. Step 4: Simplify right side
    148,943.81x = 107,552,042,873.52
  5. Step 5: Solve for x
    x = 107,552,042,873.52/148,943.81
  6. Step 6: Final answer
    x = 722,098.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.