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Finding the Third Proportional to 80,357 and 168,058

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Solution

The third proportional to 80,357 and 168,058 is: 351,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,357 : 168,058 = 168,058 : x
  2. Step 2: Convert to fraction form
    80,357/168,058 = 168,058/x
  3. Step 3: Cross multiply
    80,357x = 168,058 × 168,058
  4. Step 4: Simplify right side
    80,357x = 28,243,491,364
  5. Step 5: Solve for x
    x = 28,243,491,364/80,357
  6. Step 6: Final answer
    x = 351,475.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.