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Finding the Third Proportional to 106,960 and 227,688

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Solution

The third proportional to 106,960 and 227,688 is: 484,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960 : 227,688 = 227,688 : x
  2. Step 2: Convert to fraction form
    106,960/227,688 = 227,688/x
  3. Step 3: Cross multiply
    106,960x = 227,688 × 227,688
  4. Step 4: Simplify right side
    106,960x = 51,841,825,344
  5. Step 5: Solve for x
    x = 51,841,825,344/106,960
  6. Step 6: Final answer
    x = 484,684.23

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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.