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Finding the Third Proportional to 182,722.50 and 273,217.50

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Solution

The third proportional to 182,722.50 and 273,217.50 is: 408,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,722.50 : 273,217.50 = 273,217.50 : x
  2. Step 2: Convert to fraction form
    182,722.50/273,217.50 = 273,217.50/x
  3. Step 3: Cross multiply
    182,722.50x = 273,217.50 × 273,217.50
  4. Step 4: Simplify right side
    182,722.50x = 74,647,802,306.25
  5. Step 5: Solve for x
    x = 74,647,802,306.25/182,722.50
  6. Step 6: Final answer
    x = 408,530.98

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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.