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Finding the Third Proportional to 148,742 and 226,599

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Solution

The third proportional to 148,742 and 226,599 is: 345,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,742 : 226,599 = 226,599 : x
  2. Step 2: Convert to fraction form
    148,742/226,599 = 226,599/x
  3. Step 3: Cross multiply
    148,742x = 226,599 × 226,599
  4. Step 4: Simplify right side
    148,742x = 51,347,106,801
  5. Step 5: Solve for x
    x = 51,347,106,801/148,742
  6. Step 6: Final answer
    x = 345,209.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.