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Finding the Third Proportional to 80,488.69 and 174,805.59

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Solution

The third proportional to 80,488.69 and 174,805.59 is: 379,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488.69 : 174,805.59 = 174,805.59 : x
  2. Step 2: Convert to fraction form
    80,488.69/174,805.59 = 174,805.59/x
  3. Step 3: Cross multiply
    80,488.69x = 174,805.59 × 174,805.59
  4. Step 4: Simplify right side
    80,488.69x = 30,556,995,606.29
  5. Step 5: Solve for x
    x = 30,556,995,606.29/80,488.69
  6. Step 6: Final answer
    x = 379,643.36

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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.