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Finding the Third Proportional to 88,244 and 192,346

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Solution

The third proportional to 88,244 and 192,346 is: 419,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,244 : 192,346 = 192,346 : x
  2. Step 2: Convert to fraction form
    88,244/192,346 = 192,346/x
  3. Step 3: Cross multiply
    88,244x = 192,346 × 192,346
  4. Step 4: Simplify right side
    88,244x = 36,996,983,716
  5. Step 5: Solve for x
    x = 36,996,983,716/88,244
  6. Step 6: Final answer
    x = 419,257.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.