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Finding the Third Proportional to 180,306.75 and 275,227.50

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Solution

The third proportional to 180,306.75 and 275,227.50 is: 420,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,306.75 : 275,227.50 = 275,227.50 : x
  2. Step 2: Convert to fraction form
    180,306.75/275,227.50 = 275,227.50/x
  3. Step 3: Cross multiply
    180,306.75x = 275,227.50 × 275,227.50
  4. Step 4: Simplify right side
    180,306.75x = 75,750,176,756.25
  5. Step 5: Solve for x
    x = 75,750,176,756.25/180,306.75
  6. Step 6: Final answer
    x = 420,118.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.