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Finding the Third Proportional to 220,856 and 294,252

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Solution

The third proportional to 220,856 and 294,252 is: 392,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,856 : 294,252 = 294,252 : x
  2. Step 2: Convert to fraction form
    220,856/294,252 = 294,252/x
  3. Step 3: Cross multiply
    220,856x = 294,252 × 294,252
  4. Step 4: Simplify right side
    220,856x = 86,584,239,504
  5. Step 5: Solve for x
    x = 86,584,239,504/220,856
  6. Step 6: Final answer
    x = 392,039.34

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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.