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Finding the Third Proportional to 80,335.50 and 174,498

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Solution

The third proportional to 80,335.50 and 174,498 is: 379,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,335.50 : 174,498 = 174,498 : x
  2. Step 2: Convert to fraction form
    80,335.50/174,498 = 174,498/x
  3. Step 3: Cross multiply
    80,335.50x = 174,498 × 174,498
  4. Step 4: Simplify right side
    80,335.50x = 30,449,552,004
  5. Step 5: Solve for x
    x = 30,449,552,004/80,335.50
  6. Step 6: Final answer
    x = 379,029.84

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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.