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Finding the Third Proportional to 98,822 and 217,325

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Solution

The third proportional to 98,822 and 217,325 is: 477,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,822 : 217,325 = 217,325 : x
  2. Step 2: Convert to fraction form
    98,822/217,325 = 217,325/x
  3. Step 3: Cross multiply
    98,822x = 217,325 × 217,325
  4. Step 4: Simplify right side
    98,822x = 47,230,155,625
  5. Step 5: Solve for x
    x = 47,230,155,625/98,822
  6. Step 6: Final answer
    x = 477,931.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.