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Finding the Third Proportional to 220,601.25 and 329,254.88

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Solution

The third proportional to 220,601.25 and 329,254.88 is: 491,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,601.25 : 329,254.88 = 329,254.88 : x
  2. Step 2: Convert to fraction form
    220,601.25/329,254.88 = 329,254.88/x
  3. Step 3: Cross multiply
    220,601.25x = 329,254.88 × 329,254.88
  4. Step 4: Simplify right side
    220,601.25x = 108,408,772,711.27
  5. Step 5: Solve for x
    x = 108,408,772,711.27/220,601.25
  6. Step 6: Final answer
    x = 491,424.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.