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Finding the Third Proportional to 80,816 and 176,317

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Solution

The third proportional to 80,816 and 176,317 is: 384,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,816 : 176,317 = 176,317 : x
  2. Step 2: Convert to fraction form
    80,816/176,317 = 176,317/x
  3. Step 3: Cross multiply
    80,816x = 176,317 × 176,317
  4. Step 4: Simplify right side
    80,816x = 31,087,684,489
  5. Step 5: Solve for x
    x = 31,087,684,489/80,816
  6. Step 6: Final answer
    x = 384,672.40

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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.