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Finding the Third Proportional to 148,861.13 and 226,776.38

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Solution

The third proportional to 148,861.13 and 226,776.38 is: 345,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,861.13 : 226,776.38 = 226,776.38 : x
  2. Step 2: Convert to fraction form
    148,861.13/226,776.38 = 226,776.38/x
  3. Step 3: Cross multiply
    148,861.13x = 226,776.38 × 226,776.38
  4. Step 4: Simplify right side
    148,861.13x = 51,427,524,258.14
  5. Step 5: Solve for x
    x = 51,427,524,258.14/148,861.13
  6. Step 6: Final answer
    x = 345,473.17

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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.