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Finding the Third Proportional to 81,799 and 178,407

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Solution

The third proportional to 81,799 and 178,407 is: 389,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,799 : 178,407 = 178,407 : x
  2. Step 2: Convert to fraction form
    81,799/178,407 = 178,407/x
  3. Step 3: Cross multiply
    81,799x = 178,407 × 178,407
  4. Step 4: Simplify right side
    81,799x = 31,829,057,649
  5. Step 5: Solve for x
    x = 31,829,057,649/81,799
  6. Step 6: Final answer
    x = 389,113.04

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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.