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Finding the Third Proportional to 106,562 and 229,744

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Solution

The third proportional to 106,562 and 229,744 is: 495,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562 : 229,744 = 229,744 : x
  2. Step 2: Convert to fraction form
    106,562/229,744 = 229,744/x
  3. Step 3: Cross multiply
    106,562x = 229,744 × 229,744
  4. Step 4: Simplify right side
    106,562x = 52,782,305,536
  5. Step 5: Solve for x
    x = 52,782,305,536/106,562
  6. Step 6: Final answer
    x = 495,320.15

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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.