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Finding the Third Proportional to 105,317 and 227,491

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Solution

The third proportional to 105,317 and 227,491 is: 491,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,317 : 227,491 = 227,491 : x
  2. Step 2: Convert to fraction form
    105,317/227,491 = 227,491/x
  3. Step 3: Cross multiply
    105,317x = 227,491 × 227,491
  4. Step 4: Simplify right side
    105,317x = 51,752,155,081
  5. Step 5: Solve for x
    x = 51,752,155,081/105,317
  6. Step 6: Final answer
    x = 491,394.13

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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.