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Finding the Third Proportional to 100,404 and 217,344

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Solution

The third proportional to 100,404 and 217,344 is: 470,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404 : 217,344 = 217,344 : x
  2. Step 2: Convert to fraction form
    100,404/217,344 = 217,344/x
  3. Step 3: Cross multiply
    100,404x = 217,344 × 217,344
  4. Step 4: Simplify right side
    100,404x = 47,238,414,336
  5. Step 5: Solve for x
    x = 47,238,414,336/100,404
  6. Step 6: Final answer
    x = 470,483.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.