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Finding the Third Proportional to 141,811 and 219,554

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Solution

The third proportional to 141,811 and 219,554 is: 339,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,811 : 219,554 = 219,554 : x
  2. Step 2: Convert to fraction form
    141,811/219,554 = 219,554/x
  3. Step 3: Cross multiply
    141,811x = 219,554 × 219,554
  4. Step 4: Simplify right side
    141,811x = 48,203,958,916
  5. Step 5: Solve for x
    x = 48,203,958,916/141,811
  6. Step 6: Final answer
    x = 339,916.92

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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.