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Finding the Third Proportional to 103,032 and 225,747

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Solution

The third proportional to 103,032 and 225,747 is: 494,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,032 : 225,747 = 225,747 : x
  2. Step 2: Convert to fraction form
    103,032/225,747 = 225,747/x
  3. Step 3: Cross multiply
    103,032x = 225,747 × 225,747
  4. Step 4: Simplify right side
    103,032x = 50,961,708,009
  5. Step 5: Solve for x
    x = 50,961,708,009/103,032
  6. Step 6: Final answer
    x = 494,620.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.