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Finding the Third Proportional to 80,491.22 and 174,822.47

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Solution

The third proportional to 80,491.22 and 174,822.47 is: 379,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,491.22 : 174,822.47 = 174,822.47 : x
  2. Step 2: Convert to fraction form
    80,491.22/174,822.47 = 174,822.47/x
  3. Step 3: Cross multiply
    80,491.22x = 174,822.47 × 174,822.47
  4. Step 4: Simplify right side
    80,491.22x = 30,562,895,579.84
  5. Step 5: Solve for x
    x = 30,562,895,579.84/80,491.22
  6. Step 6: Final answer
    x = 379,704.72

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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.