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Finding the Third Proportional to 106,792 and 234,900

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Solution

The third proportional to 106,792 and 234,900 is: 516,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,792 : 234,900 = 234,900 : x
  2. Step 2: Convert to fraction form
    106,792/234,900 = 234,900/x
  3. Step 3: Cross multiply
    106,792x = 234,900 × 234,900
  4. Step 4: Simplify right side
    106,792x = 55,178,010,000
  5. Step 5: Solve for x
    x = 55,178,010,000/106,792
  6. Step 6: Final answer
    x = 516,686.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.