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Finding the Third Proportional to 106,802 and 227,407

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Solution

The third proportional to 106,802 and 227,407 is: 484,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,802 : 227,407 = 227,407 : x
  2. Step 2: Convert to fraction form
    106,802/227,407 = 227,407/x
  3. Step 3: Cross multiply
    106,802x = 227,407 × 227,407
  4. Step 4: Simplify right side
    106,802x = 51,713,943,649
  5. Step 5: Solve for x
    x = 51,713,943,649/106,802
  6. Step 6: Final answer
    x = 484,203.89

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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.