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Finding the Third Proportional to 148,734 and 226,587

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Solution

The third proportional to 148,734 and 226,587 is: 345,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,734 : 226,587 = 226,587 : x
  2. Step 2: Convert to fraction form
    148,734/226,587 = 226,587/x
  3. Step 3: Cross multiply
    148,734x = 226,587 × 226,587
  4. Step 4: Simplify right side
    148,734x = 51,341,668,569
  5. Step 5: Solve for x
    x = 51,341,668,569/148,734
  6. Step 6: Final answer
    x = 345,191.20

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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.