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Finding the Third Proportional to 175,756 and 272,372

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Solution

The third proportional to 175,756 and 272,372 is: 422,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,756 : 272,372 = 272,372 : x
  2. Step 2: Convert to fraction form
    175,756/272,372 = 272,372/x
  3. Step 3: Cross multiply
    175,756x = 272,372 × 272,372
  4. Step 4: Simplify right side
    175,756x = 74,186,506,384
  5. Step 5: Solve for x
    x = 74,186,506,384/175,756
  6. Step 6: Final answer
    x = 422,099.42

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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.