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Finding the Third Proportional to 106,840 and 227,981

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Solution

The third proportional to 106,840 and 227,981 is: 486,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,840 : 227,981 = 227,981 : x
  2. Step 2: Convert to fraction form
    106,840/227,981 = 227,981/x
  3. Step 3: Cross multiply
    106,840x = 227,981 × 227,981
  4. Step 4: Simplify right side
    106,840x = 51,975,336,361
  5. Step 5: Solve for x
    x = 51,975,336,361/106,840
  6. Step 6: Final answer
    x = 486,478.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.