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Finding the Third Proportional to 82,084 and 176,834

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Solution

The third proportional to 82,084 and 176,834 is: 380,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,084 : 176,834 = 176,834 : x
  2. Step 2: Convert to fraction form
    82,084/176,834 = 176,834/x
  3. Step 3: Cross multiply
    82,084x = 176,834 × 176,834
  4. Step 4: Simplify right side
    82,084x = 31,270,263,556
  5. Step 5: Solve for x
    x = 31,270,263,556/82,084
  6. Step 6: Final answer
    x = 380,954.43

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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.