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Finding the Third Proportional to 215,884 and 326,832

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Solution

The third proportional to 215,884 and 326,832 is: 494,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,884 : 326,832 = 326,832 : x
  2. Step 2: Convert to fraction form
    215,884/326,832 = 326,832/x
  3. Step 3: Cross multiply
    215,884x = 326,832 × 326,832
  4. Step 4: Simplify right side
    215,884x = 106,819,156,224
  5. Step 5: Solve for x
    x = 106,819,156,224/215,884
  6. Step 6: Final answer
    x = 494,798.86

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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.