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Finding the Third Proportional to 101,496 and 217,074

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Solution

The third proportional to 101,496 and 217,074 is: 464,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,496 : 217,074 = 217,074 : x
  2. Step 2: Convert to fraction form
    101,496/217,074 = 217,074/x
  3. Step 3: Cross multiply
    101,496x = 217,074 × 217,074
  4. Step 4: Simplify right side
    101,496x = 47,121,121,476
  5. Step 5: Solve for x
    x = 47,121,121,476/101,496
  6. Step 6: Final answer
    x = 464,265.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.