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Finding the Third Proportional to 100,324 and 217,926

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Solution

The third proportional to 100,324 and 217,926 is: 473,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,324 : 217,926 = 217,926 : x
  2. Step 2: Convert to fraction form
    100,324/217,926 = 217,926/x
  3. Step 3: Cross multiply
    100,324x = 217,926 × 217,926
  4. Step 4: Simplify right side
    100,324x = 47,491,741,476
  5. Step 5: Solve for x
    x = 47,491,741,476/100,324
  6. Step 6: Final answer
    x = 473,383.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.