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Finding the Third Proportional to 106,598 and 227,764

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Solution

The third proportional to 106,598 and 227,764 is: 486,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598 : 227,764 = 227,764 : x
  2. Step 2: Convert to fraction form
    106,598/227,764 = 227,764/x
  3. Step 3: Cross multiply
    106,598x = 227,764 × 227,764
  4. Step 4: Simplify right side
    106,598x = 51,876,439,696
  5. Step 5: Solve for x
    x = 51,876,439,696/106,598
  6. Step 6: Final answer
    x = 486,654.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.