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Finding the Third Proportional to 148,969.13 and 224,845.88

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Solution

The third proportional to 148,969.13 and 224,845.88 is: 339,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,969.13 : 224,845.88 = 224,845.88 : x
  2. Step 2: Convert to fraction form
    148,969.13/224,845.88 = 224,845.88/x
  3. Step 3: Cross multiply
    148,969.13x = 224,845.88 × 224,845.88
  4. Step 4: Simplify right side
    148,969.13x = 50,555,667,504.52
  5. Step 5: Solve for x
    x = 50,555,667,504.52/148,969.13
  6. Step 6: Final answer
    x = 339,370.10

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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.