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Finding the Third Proportional to 80,254.75 and 173,884.13

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Solution

The third proportional to 80,254.75 and 173,884.13 is: 376,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,254.75 : 173,884.13 = 173,884.13 : x
  2. Step 2: Convert to fraction form
    80,254.75/173,884.13 = 173,884.13/x
  3. Step 3: Cross multiply
    80,254.75x = 173,884.13 × 173,884.13
  4. Step 4: Simplify right side
    80,254.75x = 30,235,688,927.02
  5. Step 5: Solve for x
    x = 30,235,688,927.02/80,254.75
  6. Step 6: Final answer
    x = 376,746.41

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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.