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Finding the Third Proportional to 103,655 and 227,398

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Solution

The third proportional to 103,655 and 227,398 is: 498,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655 : 227,398 = 227,398 : x
  2. Step 2: Convert to fraction form
    103,655/227,398 = 227,398/x
  3. Step 3: Cross multiply
    103,655x = 227,398 × 227,398
  4. Step 4: Simplify right side
    103,655x = 51,709,850,404
  5. Step 5: Solve for x
    x = 51,709,850,404/103,655
  6. Step 6: Final answer
    x = 498,864.99

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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.