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Finding the Third Proportional to 81,328.50 and 176,232

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Solution

The third proportional to 81,328.50 and 176,232 is: 381,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,328.50 : 176,232 = 176,232 : x
  2. Step 2: Convert to fraction form
    81,328.50/176,232 = 176,232/x
  3. Step 3: Cross multiply
    81,328.50x = 176,232 × 176,232
  4. Step 4: Simplify right side
    81,328.50x = 31,057,717,824
  5. Step 5: Solve for x
    x = 31,057,717,824/81,328.50
  6. Step 6: Final answer
    x = 381,879.88

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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.