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Finding the Third Proportional to 225,747 and 331,877.25

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Solution

The third proportional to 225,747 and 331,877.25 is: 487,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,747 : 331,877.25 = 331,877.25 : x
  2. Step 2: Convert to fraction form
    225,747/331,877.25 = 331,877.25/x
  3. Step 3: Cross multiply
    225,747x = 331,877.25 × 331,877.25
  4. Step 4: Simplify right side
    225,747x = 110,142,509,067.56
  5. Step 5: Solve for x
    x = 110,142,509,067.56/225,747
  6. Step 6: Final answer
    x = 487,902.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.