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Finding the Third Proportional to 238,963.92 and 361,914.33

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Solution

The third proportional to 238,963.92 and 361,914.33 is: 548,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,963.92 : 361,914.33 = 361,914.33 : x
  2. Step 2: Convert to fraction form
    238,963.92/361,914.33 = 361,914.33/x
  3. Step 3: Cross multiply
    238,963.92x = 361,914.33 × 361,914.33
  4. Step 4: Simplify right side
    238,963.92x = 130,981,980,902.17
  5. Step 5: Solve for x
    x = 130,981,980,902.17/238,963.92
  6. Step 6: Final answer
    x = 548,124.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.