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Finding the Third Proportional to 221,337.75 and 332,007

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Solution

The third proportional to 221,337.75 and 332,007 is: 498,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,337.75 : 332,007 = 332,007 : x
  2. Step 2: Convert to fraction form
    221,337.75/332,007 = 332,007/x
  3. Step 3: Cross multiply
    221,337.75x = 332,007 × 332,007
  4. Step 4: Simplify right side
    221,337.75x = 110,228,648,049
  5. Step 5: Solve for x
    x = 110,228,648,049/221,337.75
  6. Step 6: Final answer
    x = 498,011.06

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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.