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Finding the Third Proportional to 80,491.22 and 174,810.66

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Solution

The third proportional to 80,491.22 and 174,810.66 is: 379,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,491.22 : 174,810.66 = 174,810.66 : x
  2. Step 2: Convert to fraction form
    80,491.22/174,810.66 = 174,810.66/x
  3. Step 3: Cross multiply
    80,491.22x = 174,810.66 × 174,810.66
  4. Step 4: Simplify right side
    80,491.22x = 30,558,765,538.56
  5. Step 5: Solve for x
    x = 30,558,765,538.56/80,491.22
  6. Step 6: Final answer
    x = 379,653.41

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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.