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Finding the Third Proportional to 137,591.50 and 281,015

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Solution

The third proportional to 137,591.50 and 281,015 is: 573,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,591.50 : 281,015 = 281,015 : x
  2. Step 2: Convert to fraction form
    137,591.50/281,015 = 281,015/x
  3. Step 3: Cross multiply
    137,591.50x = 281,015 × 281,015
  4. Step 4: Simplify right side
    137,591.50x = 78,969,430,225
  5. Step 5: Solve for x
    x = 78,969,430,225/137,591.50
  6. Step 6: Final answer
    x = 573,941.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.