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Finding the Third Proportional to 80,376.38 and 174,590.25

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Solution

The third proportional to 80,376.38 and 174,590.25 is: 379,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,376.38 : 174,590.25 = 174,590.25 : x
  2. Step 2: Convert to fraction form
    80,376.38/174,590.25 = 174,590.25/x
  3. Step 3: Cross multiply
    80,376.38x = 174,590.25 × 174,590.25
  4. Step 4: Simplify right side
    80,376.38x = 30,481,755,395.06
  5. Step 5: Solve for x
    x = 30,481,755,395.06/80,376.38
  6. Step 6: Final answer
    x = 379,237.75

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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.