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Finding the Third Proportional to 80,449.88 and 174,738.94

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Solution

The third proportional to 80,449.88 and 174,738.94 is: 379,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,449.88 : 174,738.94 = 174,738.94 : x
  2. Step 2: Convert to fraction form
    80,449.88/174,738.94 = 174,738.94/x
  3. Step 3: Cross multiply
    80,449.88x = 174,738.94 × 174,738.94
  4. Step 4: Simplify right side
    80,449.88x = 30,533,696,278.63
  5. Step 5: Solve for x
    x = 30,533,696,278.63/80,449.88
  6. Step 6: Final answer
    x = 379,536.90

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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.