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Finding the Third Proportional to 106,820 and 227,448

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Solution

The third proportional to 106,820 and 227,448 is: 484,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820 : 227,448 = 227,448 : x
  2. Step 2: Convert to fraction form
    106,820/227,448 = 227,448/x
  3. Step 3: Cross multiply
    106,820x = 227,448 × 227,448
  4. Step 4: Simplify right side
    106,820x = 51,732,592,704
  5. Step 5: Solve for x
    x = 51,732,592,704/106,820
  6. Step 6: Final answer
    x = 484,296.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.