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Finding the Third Proportional to 80,224 and 173,840

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Solution

The third proportional to 80,224 and 173,840 is: 376,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,224 : 173,840 = 173,840 : x
  2. Step 2: Convert to fraction form
    80,224/173,840 = 173,840/x
  3. Step 3: Cross multiply
    80,224x = 173,840 × 173,840
  4. Step 4: Simplify right side
    80,224x = 30,220,345,600
  5. Step 5: Solve for x
    x = 30,220,345,600/80,224
  6. Step 6: Final answer
    x = 376,699.56

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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.