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Finding the Third Proportional to 107,440 and 227,686

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Solution

The third proportional to 107,440 and 227,686 is: 482,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,440 : 227,686 = 227,686 : x
  2. Step 2: Convert to fraction form
    107,440/227,686 = 227,686/x
  3. Step 3: Cross multiply
    107,440x = 227,686 × 227,686
  4. Step 4: Simplify right side
    107,440x = 51,840,914,596
  5. Step 5: Solve for x
    x = 51,840,914,596/107,440
  6. Step 6: Final answer
    x = 482,510.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.