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Finding the Third Proportional to 149,615.44 and 224,577.56

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Solution

The third proportional to 149,615.44 and 224,577.56 is: 337,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,615.44 : 224,577.56 = 224,577.56 : x
  2. Step 2: Convert to fraction form
    149,615.44/224,577.56 = 224,577.56/x
  3. Step 3: Cross multiply
    149,615.44x = 224,577.56 × 224,577.56
  4. Step 4: Simplify right side
    149,615.44x = 50,435,081,578.44
  5. Step 5: Solve for x
    x = 50,435,081,578.44/149,615.44
  6. Step 6: Final answer
    x = 337,098.11

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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.