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Finding the Third Proportional to 141,470 and 217,126

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Solution

The third proportional to 141,470 and 217,126 is: 333,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,470 : 217,126 = 217,126 : x
  2. Step 2: Convert to fraction form
    141,470/217,126 = 217,126/x
  3. Step 3: Cross multiply
    141,470x = 217,126 × 217,126
  4. Step 4: Simplify right side
    141,470x = 47,143,699,876
  5. Step 5: Solve for x
    x = 47,143,699,876/141,470
  6. Step 6: Final answer
    x = 333,241.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.