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Finding the Third Proportional to 221,442.75 and 332,103.94

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Solution

The third proportional to 221,442.75 and 332,103.94 is: 498,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,442.75 : 332,103.94 = 332,103.94 : x
  2. Step 2: Convert to fraction form
    221,442.75/332,103.94 = 332,103.94/x
  3. Step 3: Cross multiply
    221,442.75x = 332,103.94 × 332,103.94
  4. Step 4: Simplify right side
    221,442.75x = 110,293,025,303.00
  5. Step 5: Solve for x
    x = 110,293,025,303.00/221,442.75
  6. Step 6: Final answer
    x = 498,065.64

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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.