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Finding the Third Proportional to 148,808 and 226,707

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Solution

The third proportional to 148,808 and 226,707 is: 345,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,808 : 226,707 = 226,707 : x
  2. Step 2: Convert to fraction form
    148,808/226,707 = 226,707/x
  3. Step 3: Cross multiply
    148,808x = 226,707 × 226,707
  4. Step 4: Simplify right side
    148,808x = 51,396,063,849
  5. Step 5: Solve for x
    x = 51,396,063,849/148,808
  6. Step 6: Final answer
    x = 345,385.09

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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.