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Finding the Third Proportional to 172,412 and 246,828

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Solution

The third proportional to 172,412 and 246,828 is: 353,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,412 : 246,828 = 246,828 : x
  2. Step 2: Convert to fraction form
    172,412/246,828 = 246,828/x
  3. Step 3: Cross multiply
    172,412x = 246,828 × 246,828
  4. Step 4: Simplify right side
    172,412x = 60,924,061,584
  5. Step 5: Solve for x
    x = 60,924,061,584/172,412
  6. Step 6: Final answer
    x = 353,363.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.