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Finding the Third Proportional to 104,239 and 224,551

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Solution

The third proportional to 104,239 and 224,551 is: 483,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,239 : 224,551 = 224,551 : x
  2. Step 2: Convert to fraction form
    104,239/224,551 = 224,551/x
  3. Step 3: Cross multiply
    104,239x = 224,551 × 224,551
  4. Step 4: Simplify right side
    104,239x = 50,423,151,601
  5. Step 5: Solve for x
    x = 50,423,151,601/104,239
  6. Step 6: Final answer
    x = 483,726.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.