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Finding the Third Proportional to 80,277 and 175,779

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Solution

The third proportional to 80,277 and 175,779 is: 384,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,277 : 175,779 = 175,779 : x
  2. Step 2: Convert to fraction form
    80,277/175,779 = 175,779/x
  3. Step 3: Cross multiply
    80,277x = 175,779 × 175,779
  4. Step 4: Simplify right side
    80,277x = 30,898,256,841
  5. Step 5: Solve for x
    x = 30,898,256,841/80,277
  6. Step 6: Final answer
    x = 384,895.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.