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Finding the Third Proportional to 102,239 and 224,782

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Solution

The third proportional to 102,239 and 224,782 is: 494,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,239 : 224,782 = 224,782 : x
  2. Step 2: Convert to fraction form
    102,239/224,782 = 224,782/x
  3. Step 3: Cross multiply
    102,239x = 224,782 × 224,782
  4. Step 4: Simplify right side
    102,239x = 50,526,947,524
  5. Step 5: Solve for x
    x = 50,526,947,524/102,239
  6. Step 6: Final answer
    x = 494,204.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.