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Finding the Third Proportional to 148,812.19 and 224,561.11

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Solution

The third proportional to 148,812.19 and 224,561.11 is: 338,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,812.19 : 224,561.11 = 224,561.11 : x
  2. Step 2: Convert to fraction form
    148,812.19/224,561.11 = 224,561.11/x
  3. Step 3: Cross multiply
    148,812.19x = 224,561.11 × 224,561.11
  4. Step 4: Simplify right side
    148,812.19x = 50,427,691,843.73
  5. Step 5: Solve for x
    x = 50,427,691,843.73/148,812.19
  6. Step 6: Final answer
    x = 338,868.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.