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Finding the Third Proportional to 106,744 and 229,982

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Solution

The third proportional to 106,744 and 229,982 is: 495,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,744 : 229,982 = 229,982 : x
  2. Step 2: Convert to fraction form
    106,744/229,982 = 229,982/x
  3. Step 3: Cross multiply
    106,744x = 229,982 × 229,982
  4. Step 4: Simplify right side
    106,744x = 52,891,720,324
  5. Step 5: Solve for x
    x = 52,891,720,324/106,744
  6. Step 6: Final answer
    x = 495,500.64

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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.