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Finding the Third Proportional to 221,531.63 and 332,228.25

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Solution

The third proportional to 221,531.63 and 332,228.25 is: 498,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,531.63 : 332,228.25 = 332,228.25 : x
  2. Step 2: Convert to fraction form
    221,531.63/332,228.25 = 332,228.25/x
  3. Step 3: Cross multiply
    221,531.63x = 332,228.25 × 332,228.25
  4. Step 4: Simplify right side
    221,531.63x = 110,375,610,098.06
  5. Step 5: Solve for x
    x = 110,375,610,098.06/221,531.63
  6. Step 6: Final answer
    x = 498,238.62

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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.