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Finding the Third Proportional to 106,439 and 227,334

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Solution

The third proportional to 106,439 and 227,334 is: 485,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,439 : 227,334 = 227,334 : x
  2. Step 2: Convert to fraction form
    106,439/227,334 = 227,334/x
  3. Step 3: Cross multiply
    106,439x = 227,334 × 227,334
  4. Step 4: Simplify right side
    106,439x = 51,680,747,556
  5. Step 5: Solve for x
    x = 51,680,747,556/106,439
  6. Step 6: Final answer
    x = 485,543.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.