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Finding the Third Proportional to 146,991 and 220,081.50

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Solution

The third proportional to 146,991 and 220,081.50 is: 329,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,991 : 220,081.50 = 220,081.50 : x
  2. Step 2: Convert to fraction form
    146,991/220,081.50 = 220,081.50/x
  3. Step 3: Cross multiply
    146,991x = 220,081.50 × 220,081.50
  4. Step 4: Simplify right side
    146,991x = 48,435,866,642.25
  5. Step 5: Solve for x
    x = 48,435,866,642.25/146,991
  6. Step 6: Final answer
    x = 329,515.87

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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.