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Finding the Third Proportional to 148,620 and 226,386

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Solution

The third proportional to 148,620 and 226,386 is: 344,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,620 : 226,386 = 226,386 : x
  2. Step 2: Convert to fraction form
    148,620/226,386 = 226,386/x
  3. Step 3: Cross multiply
    148,620x = 226,386 × 226,386
  4. Step 4: Simplify right side
    148,620x = 51,250,620,996
  5. Step 5: Solve for x
    x = 51,250,620,996/148,620
  6. Step 6: Final answer
    x = 344,843.37

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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.