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Finding the Third Proportional to 221,486.91 and 332,162.02

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Solution

The third proportional to 221,486.91 and 332,162.02 is: 498,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,486.91 : 332,162.02 = 332,162.02 : x
  2. Step 2: Convert to fraction form
    221,486.91/332,162.02 = 332,162.02/x
  3. Step 3: Cross multiply
    221,486.91x = 332,162.02 × 332,162.02
  4. Step 4: Simplify right side
    221,486.91x = 110,331,604,624.06
  5. Step 5: Solve for x
    x = 110,331,604,624.06/221,486.91
  6. Step 6: Final answer
    x = 498,140.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.