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Finding the Third Proportional to 221,076.84 and 333,449.16

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Solution

The third proportional to 221,076.84 and 333,449.16 is: 502,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,076.84 : 333,449.16 = 333,449.16 : x
  2. Step 2: Convert to fraction form
    221,076.84/333,449.16 = 333,449.16/x
  3. Step 3: Cross multiply
    221,076.84x = 333,449.16 × 333,449.16
  4. Step 4: Simplify right side
    221,076.84x = 111,188,339,803.84
  5. Step 5: Solve for x
    x = 111,188,339,803.84/221,076.84
  6. Step 6: Final answer
    x = 502,939.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.