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Finding the Third Proportional to 149,365.13 and 224,209.69

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Solution

The third proportional to 149,365.13 and 224,209.69 is: 336,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,365.13 : 224,209.69 = 224,209.69 : x
  2. Step 2: Convert to fraction form
    149,365.13/224,209.69 = 224,209.69/x
  3. Step 3: Cross multiply
    149,365.13x = 224,209.69 × 224,209.69
  4. Step 4: Simplify right side
    149,365.13x = 50,269,983,968.85
  5. Step 5: Solve for x
    x = 50,269,983,968.85/149,365.13
  6. Step 6: Final answer
    x = 336,557.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.