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Finding the Third Proportional to 172,417 and 375,872

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Solution

The third proportional to 172,417 and 375,872 is: 819,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,417 : 375,872 = 375,872 : x
  2. Step 2: Convert to fraction form
    172,417/375,872 = 375,872/x
  3. Step 3: Cross multiply
    172,417x = 375,872 × 375,872
  4. Step 4: Simplify right side
    172,417x = 141,279,760,384
  5. Step 5: Solve for x
    x = 141,279,760,384/172,417
  6. Step 6: Final answer
    x = 819,407.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.