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Finding the Third Proportional to 104,484 and 225,592

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Solution

The third proportional to 104,484 and 225,592 is: 487,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,484 : 225,592 = 225,592 : x
  2. Step 2: Convert to fraction form
    104,484/225,592 = 225,592/x
  3. Step 3: Cross multiply
    104,484x = 225,592 × 225,592
  4. Step 4: Simplify right side
    104,484x = 50,891,750,464
  5. Step 5: Solve for x
    x = 50,891,750,464/104,484
  6. Step 6: Final answer
    x = 487,076.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.