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Finding the Third Proportional to 172,350 and 252,849

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Solution

The third proportional to 172,350 and 252,849 is: 370,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,350 : 252,849 = 252,849 : x
  2. Step 2: Convert to fraction form
    172,350/252,849 = 252,849/x
  3. Step 3: Cross multiply
    172,350x = 252,849 × 252,849
  4. Step 4: Simplify right side
    172,350x = 63,932,616,801
  5. Step 5: Solve for x
    x = 63,932,616,801/172,350
  6. Step 6: Final answer
    x = 370,946.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.