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Finding the Third Proportional to 103,543 and 226,469

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Solution

The third proportional to 103,543 and 226,469 is: 495,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,543 : 226,469 = 226,469 : x
  2. Step 2: Convert to fraction form
    103,543/226,469 = 226,469/x
  3. Step 3: Cross multiply
    103,543x = 226,469 × 226,469
  4. Step 4: Simplify right side
    103,543x = 51,288,207,961
  5. Step 5: Solve for x
    x = 51,288,207,961/103,543
  6. Step 6: Final answer
    x = 495,332.45

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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.