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Finding the Third Proportional to 172,001 and 252,946

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Solution

The third proportional to 172,001 and 252,946 is: 371,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,001 : 252,946 = 252,946 : x
  2. Step 2: Convert to fraction form
    172,001/252,946 = 252,946/x
  3. Step 3: Cross multiply
    172,001x = 252,946 × 252,946
  4. Step 4: Simplify right side
    172,001x = 63,981,678,916
  5. Step 5: Solve for x
    x = 63,981,678,916/172,001
  6. Step 6: Final answer
    x = 371,984.34

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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.