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Finding the Third Proportional to 103,840 and 227,336

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Solution

The third proportional to 103,840 and 227,336 is: 497,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,840 : 227,336 = 227,336 : x
  2. Step 2: Convert to fraction form
    103,840/227,336 = 227,336/x
  3. Step 3: Cross multiply
    103,840x = 227,336 × 227,336
  4. Step 4: Simplify right side
    103,840x = 51,681,656,896
  5. Step 5: Solve for x
    x = 51,681,656,896/103,840
  6. Step 6: Final answer
    x = 497,704.71

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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.