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Finding the Third Proportional to 81,864 and 176,322

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Solution

The third proportional to 81,864 and 176,322 is: 379,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 176,322 = 176,322 : x
  2. Step 2: Convert to fraction form
    81,864/176,322 = 176,322/x
  3. Step 3: Cross multiply
    81,864x = 176,322 × 176,322
  4. Step 4: Simplify right side
    81,864x = 31,089,447,684
  5. Step 5: Solve for x
    x = 31,089,447,684/81,864
  6. Step 6: Final answer
    x = 379,769.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.