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Finding the Third Proportional to 103,810 and 227,716

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Solution

The third proportional to 103,810 and 227,716 is: 499,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,810 : 227,716 = 227,716 : x
  2. Step 2: Convert to fraction form
    103,810/227,716 = 227,716/x
  3. Step 3: Cross multiply
    103,810x = 227,716 × 227,716
  4. Step 4: Simplify right side
    103,810x = 51,854,576,656
  5. Step 5: Solve for x
    x = 51,854,576,656/103,810
  6. Step 6: Final answer
    x = 499,514.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.