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Finding the Third Proportional to 80,622 and 174,649.50

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Solution

The third proportional to 80,622 and 174,649.50 is: 378,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,622 : 174,649.50 = 174,649.50 : x
  2. Step 2: Convert to fraction form
    80,622/174,649.50 = 174,649.50/x
  3. Step 3: Cross multiply
    80,622x = 174,649.50 × 174,649.50
  4. Step 4: Simplify right side
    80,622x = 30,502,447,850.25
  5. Step 5: Solve for x
    x = 30,502,447,850.25/80,622
  6. Step 6: Final answer
    x = 378,339.01

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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.