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Finding the Third Proportional to 215,662 and 326,494

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Solution

The third proportional to 215,662 and 326,494 is: 494,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,662 : 326,494 = 326,494 : x
  2. Step 2: Convert to fraction form
    215,662/326,494 = 326,494/x
  3. Step 3: Cross multiply
    215,662x = 326,494 × 326,494
  4. Step 4: Simplify right side
    215,662x = 106,598,332,036
  5. Step 5: Solve for x
    x = 106,598,332,036/215,662
  6. Step 6: Final answer
    x = 494,284.26

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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.