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Finding the Third Proportional to 225,838.13 and 338,787.56

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Solution

The third proportional to 225,838.13 and 338,787.56 is: 508,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,838.13 : 338,787.56 = 338,787.56 : x
  2. Step 2: Convert to fraction form
    225,838.13/338,787.56 = 338,787.56/x
  3. Step 3: Cross multiply
    225,838.13x = 338,787.56 × 338,787.56
  4. Step 4: Simplify right side
    225,838.13x = 114,777,012,504.69
  5. Step 5: Solve for x
    x = 114,777,012,504.69/225,838.13
  6. Step 6: Final answer
    x = 508,226.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.