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Finding the Third Proportional to 175,894 and 425,151

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Solution

The third proportional to 175,894 and 425,151 is: 1,027,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,894 : 425,151 = 425,151 : x
  2. Step 2: Convert to fraction form
    175,894/425,151 = 425,151/x
  3. Step 3: Cross multiply
    175,894x = 425,151 × 425,151
  4. Step 4: Simplify right side
    175,894x = 180,753,372,801
  5. Step 5: Solve for x
    x = 180,753,372,801/175,894
  6. Step 6: Final answer
    x = 1,027,626.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.