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Finding the Third Proportional to 82,964.25 and 178,235.44

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Solution

The third proportional to 82,964.25 and 178,235.44 is: 382,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964.25 : 178,235.44 = 178,235.44 : x
  2. Step 2: Convert to fraction form
    82,964.25/178,235.44 = 178,235.44/x
  3. Step 3: Cross multiply
    82,964.25x = 178,235.44 × 178,235.44
  4. Step 4: Simplify right side
    82,964.25x = 31,767,871,180.82
  5. Step 5: Solve for x
    x = 31,767,871,180.82/82,964.25
  6. Step 6: Final answer
    x = 382,910.36

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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.