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Finding the Third Proportional to 80,232 and 173,856

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Solution

The third proportional to 80,232 and 173,856 is: 376,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,232 : 173,856 = 173,856 : x
  2. Step 2: Convert to fraction form
    80,232/173,856 = 173,856/x
  3. Step 3: Cross multiply
    80,232x = 173,856 × 173,856
  4. Step 4: Simplify right side
    80,232x = 30,225,908,736
  5. Step 5: Solve for x
    x = 30,225,908,736/80,232
  6. Step 6: Final answer
    x = 376,731.34

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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.