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Finding the Third Proportional to 80,308.13 and 176,541.75

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Solution

The third proportional to 80,308.13 and 176,541.75 is: 388,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,308.13 : 176,541.75 = 176,541.75 : x
  2. Step 2: Convert to fraction form
    80,308.13/176,541.75 = 176,541.75/x
  3. Step 3: Cross multiply
    80,308.13x = 176,541.75 × 176,541.75
  4. Step 4: Simplify right side
    80,308.13x = 31,166,989,493.06
  5. Step 5: Solve for x
    x = 31,166,989,493.06/80,308.13
  6. Step 6: Final answer
    x = 388,092.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.