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Finding the Third Proportional to 106,806 and 227,416

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Solution

The third proportional to 106,806 and 227,416 is: 484,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806 : 227,416 = 227,416 : x
  2. Step 2: Convert to fraction form
    106,806/227,416 = 227,416/x
  3. Step 3: Cross multiply
    106,806x = 227,416 × 227,416
  4. Step 4: Simplify right side
    106,806x = 51,718,037,056
  5. Step 5: Solve for x
    x = 51,718,037,056/106,806
  6. Step 6: Final answer
    x = 484,224.08

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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.