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Finding the Third Proportional to 109,543 and 224,267

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Solution

The third proportional to 109,543 and 224,267 is: 459,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,543 : 224,267 = 224,267 : x
  2. Step 2: Convert to fraction form
    109,543/224,267 = 224,267/x
  3. Step 3: Cross multiply
    109,543x = 224,267 × 224,267
  4. Step 4: Simplify right side
    109,543x = 50,295,687,289
  5. Step 5: Solve for x
    x = 50,295,687,289/109,543
  6. Step 6: Final answer
    x = 459,141.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.