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Finding the Third Proportional to 175,851 and 272,463

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Solution

The third proportional to 175,851 and 272,463 is: 422,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,851 : 272,463 = 272,463 : x
  2. Step 2: Convert to fraction form
    175,851/272,463 = 272,463/x
  3. Step 3: Cross multiply
    175,851x = 272,463 × 272,463
  4. Step 4: Simplify right side
    175,851x = 74,236,086,369
  5. Step 5: Solve for x
    x = 74,236,086,369/175,851
  6. Step 6: Final answer
    x = 422,153.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.