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Finding the Third Proportional to 80,488.48 and 174,805.17

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Solution

The third proportional to 80,488.48 and 174,805.17 is: 379,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488.48 : 174,805.17 = 174,805.17 : x
  2. Step 2: Convert to fraction form
    80,488.48/174,805.17 = 174,805.17/x
  3. Step 3: Cross multiply
    80,488.48x = 174,805.17 × 174,805.17
  4. Step 4: Simplify right side
    80,488.48x = 30,556,848,114.25
  5. Step 5: Solve for x
    x = 30,556,848,114.25/80,488.48
  6. Step 6: Final answer
    x = 379,642.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.