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Finding the Third Proportional to 220,854 and 294,249

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Solution

The third proportional to 220,854 and 294,249 is: 392,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,854 : 294,249 = 294,249 : x
  2. Step 2: Convert to fraction form
    220,854/294,249 = 294,249/x
  3. Step 3: Cross multiply
    220,854x = 294,249 × 294,249
  4. Step 4: Simplify right side
    220,854x = 86,582,474,001
  5. Step 5: Solve for x
    x = 86,582,474,001/220,854
  6. Step 6: Final answer
    x = 392,034.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.