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Finding the Third Proportional to 84,719.67 and 182,800.55

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Solution

The third proportional to 84,719.67 and 182,800.55 is: 394,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,719.67 : 182,800.55 = 182,800.55 : x
  2. Step 2: Convert to fraction form
    84,719.67/182,800.55 = 182,800.55/x
  3. Step 3: Cross multiply
    84,719.67x = 182,800.55 × 182,800.55
  4. Step 4: Simplify right side
    84,719.67x = 33,416,039,937.80
  5. Step 5: Solve for x
    x = 33,416,039,937.80/84,719.67
  6. Step 6: Final answer
    x = 394,430.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.