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Finding the Third Proportional to 149,622.50 and 224,590.38

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Solution

The third proportional to 149,622.50 and 224,590.38 is: 337,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,622.50 : 224,590.38 = 224,590.38 : x
  2. Step 2: Convert to fraction form
    149,622.50/224,590.38 = 224,590.38/x
  3. Step 3: Cross multiply
    149,622.50x = 224,590.38 × 224,590.38
  4. Step 4: Simplify right side
    149,622.50x = 50,440,836,542.64
  5. Step 5: Solve for x
    x = 50,440,836,542.64/149,622.50
  6. Step 6: Final answer
    x = 337,120.66

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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.