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Finding the Third Proportional to 102,662 and 222,860

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Solution

The third proportional to 102,662 and 222,860 is: 483,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662 : 222,860 = 222,860 : x
  2. Step 2: Convert to fraction form
    102,662/222,860 = 222,860/x
  3. Step 3: Cross multiply
    102,662x = 222,860 × 222,860
  4. Step 4: Simplify right side
    102,662x = 49,666,579,600
  5. Step 5: Solve for x
    x = 49,666,579,600/102,662
  6. Step 6: Final answer
    x = 483,787.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.