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Finding the Third Proportional to 221,427.84 and 332,084.11

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Solution

The third proportional to 221,427.84 and 332,084.11 is: 498,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,427.84 : 332,084.11 = 332,084.11 : x
  2. Step 2: Convert to fraction form
    221,427.84/332,084.11 = 332,084.11/x
  3. Step 3: Cross multiply
    221,427.84x = 332,084.11 × 332,084.11
  4. Step 4: Simplify right side
    221,427.84x = 110,279,855,699.39
  5. Step 5: Solve for x
    x = 110,279,855,699.39/221,427.84
  6. Step 6: Final answer
    x = 498,039.69

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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.