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Finding the Third Proportional to 80,678.44 and 174,964.88

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Solution

The third proportional to 80,678.44 and 174,964.88 is: 379,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,678.44 : 174,964.88 = 174,964.88 : x
  2. Step 2: Convert to fraction form
    80,678.44/174,964.88 = 174,964.88/x
  3. Step 3: Cross multiply
    80,678.44x = 174,964.88 × 174,964.88
  4. Step 4: Simplify right side
    80,678.44x = 30,612,707,483.77
  5. Step 5: Solve for x
    x = 30,612,707,483.77/80,678.44
  6. Step 6: Final answer
    x = 379,441.01

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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.