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Finding the Third Proportional to 148,366 and 226,287

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Solution

The third proportional to 148,366 and 226,287 is: 345,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,366 : 226,287 = 226,287 : x
  2. Step 2: Convert to fraction form
    148,366/226,287 = 226,287/x
  3. Step 3: Cross multiply
    148,366x = 226,287 × 226,287
  4. Step 4: Simplify right side
    148,366x = 51,205,806,369
  5. Step 5: Solve for x
    x = 51,205,806,369/148,366
  6. Step 6: Final answer
    x = 345,131.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.