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Finding the Third Proportional to 141,866 and 214,491

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Solution

The third proportional to 141,866 and 214,491 is: 324,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,866 : 214,491 = 214,491 : x
  2. Step 2: Convert to fraction form
    141,866/214,491 = 214,491/x
  3. Step 3: Cross multiply
    141,866x = 214,491 × 214,491
  4. Step 4: Simplify right side
    141,866x = 46,006,389,081
  5. Step 5: Solve for x
    x = 46,006,389,081/141,866
  6. Step 6: Final answer
    x = 324,294.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.