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Finding the Third Proportional to 82,614.94 and 178,351.88

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Solution

The third proportional to 82,614.94 and 178,351.88 is: 385,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,614.94 : 178,351.88 = 178,351.88 : x
  2. Step 2: Convert to fraction form
    82,614.94/178,351.88 = 178,351.88/x
  3. Step 3: Cross multiply
    82,614.94x = 178,351.88 × 178,351.88
  4. Step 4: Simplify right side
    82,614.94x = 31,809,391,316.02
  5. Step 5: Solve for x
    x = 31,809,391,316.02/82,614.94
  6. Step 6: Final answer
    x = 385,031.96

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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.