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Finding the Third Proportional to 105,516 and 227,679

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Solution

The third proportional to 105,516 and 227,679 is: 491,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,516 : 227,679 = 227,679 : x
  2. Step 2: Convert to fraction form
    105,516/227,679 = 227,679/x
  3. Step 3: Cross multiply
    105,516x = 227,679 × 227,679
  4. Step 4: Simplify right side
    105,516x = 51,837,727,041
  5. Step 5: Solve for x
    x = 51,837,727,041/105,516
  6. Step 6: Final answer
    x = 491,278.36

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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.