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Finding the Third Proportional to 103,942 and 227,628

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Solution

The third proportional to 103,942 and 227,628 is: 498,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,942 : 227,628 = 227,628 : x
  2. Step 2: Convert to fraction form
    103,942/227,628 = 227,628/x
  3. Step 3: Cross multiply
    103,942x = 227,628 × 227,628
  4. Step 4: Simplify right side
    103,942x = 51,814,506,384
  5. Step 5: Solve for x
    x = 51,814,506,384/103,942
  6. Step 6: Final answer
    x = 498,494.41

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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.