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Finding the Third Proportional to 131,724.50 and 204,344.75

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Solution

The third proportional to 131,724.50 and 204,344.75 is: 317,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,724.50 : 204,344.75 = 204,344.75 : x
  2. Step 2: Convert to fraction form
    131,724.50/204,344.75 = 204,344.75/x
  3. Step 3: Cross multiply
    131,724.50x = 204,344.75 × 204,344.75
  4. Step 4: Simplify right side
    131,724.50x = 41,756,776,852.56
  5. Step 5: Solve for x
    x = 41,756,776,852.56/131,724.50
  6. Step 6: Final answer
    x = 317,000.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.