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Finding the Third Proportional to 172,350 and 376,775

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Solution

The third proportional to 172,350 and 376,775 is: 823,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,350 : 376,775 = 376,775 : x
  2. Step 2: Convert to fraction form
    172,350/376,775 = 376,775/x
  3. Step 3: Cross multiply
    172,350x = 376,775 × 376,775
  4. Step 4: Simplify right side
    172,350x = 141,959,400,625
  5. Step 5: Solve for x
    x = 141,959,400,625/172,350
  6. Step 6: Final answer
    x = 823,669.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.