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Finding the Third Proportional to 191,567 and 418,126

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Solution

The third proportional to 191,567 and 418,126 is: 912,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,567 : 418,126 = 418,126 : x
  2. Step 2: Convert to fraction form
    191,567/418,126 = 418,126/x
  3. Step 3: Cross multiply
    191,567x = 418,126 × 418,126
  4. Step 4: Simplify right side
    191,567x = 174,829,351,876
  5. Step 5: Solve for x
    x = 174,829,351,876/191,567
  6. Step 6: Final answer
    x = 912,627.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.