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Finding the Third Proportional to 148,746 and 226,605

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Solution

The third proportional to 148,746 and 226,605 is: 345,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,746 : 226,605 = 226,605 : x
  2. Step 2: Convert to fraction form
    148,746/226,605 = 226,605/x
  3. Step 3: Cross multiply
    148,746x = 226,605 × 226,605
  4. Step 4: Simplify right side
    148,746x = 51,349,826,025
  5. Step 5: Solve for x
    x = 51,349,826,025/148,746
  6. Step 6: Final answer
    x = 345,218.20

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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.