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Finding the Third Proportional to 149,500 and 224,682

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Solution

The third proportional to 149,500 and 224,682 is: 337,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,500 : 224,682 = 224,682 : x
  2. Step 2: Convert to fraction form
    149,500/224,682 = 224,682/x
  3. Step 3: Cross multiply
    149,500x = 224,682 × 224,682
  4. Step 4: Simplify right side
    149,500x = 50,482,001,124
  5. Step 5: Solve for x
    x = 50,482,001,124/149,500
  6. Step 6: Final answer
    x = 337,672.25

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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.