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Finding the Third Proportional to 106,552 and 229,708

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Solution

The third proportional to 106,552 and 229,708 is: 495,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,552 : 229,708 = 229,708 : x
  2. Step 2: Convert to fraction form
    106,552/229,708 = 229,708/x
  3. Step 3: Cross multiply
    106,552x = 229,708 × 229,708
  4. Step 4: Simplify right side
    106,552x = 52,765,765,264
  5. Step 5: Solve for x
    x = 52,765,765,264/106,552
  6. Step 6: Final answer
    x = 495,211.40

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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.