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Finding the Third Proportional to 80,791 and 176,270

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Solution

The third proportional to 80,791 and 176,270 is: 384,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,791 : 176,270 = 176,270 : x
  2. Step 2: Convert to fraction form
    80,791/176,270 = 176,270/x
  3. Step 3: Cross multiply
    80,791x = 176,270 × 176,270
  4. Step 4: Simplify right side
    80,791x = 31,071,112,900
  5. Step 5: Solve for x
    x = 31,071,112,900/80,791
  6. Step 6: Final answer
    x = 384,586.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.