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Finding the Third Proportional to 172,360 and 267,562

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Solution

The third proportional to 172,360 and 267,562 is: 415,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,360 : 267,562 = 267,562 : x
  2. Step 2: Convert to fraction form
    172,360/267,562 = 267,562/x
  3. Step 3: Cross multiply
    172,360x = 267,562 × 267,562
  4. Step 4: Simplify right side
    172,360x = 71,589,423,844
  5. Step 5: Solve for x
    x = 71,589,423,844/172,360
  6. Step 6: Final answer
    x = 415,348.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.