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Finding the Third Proportional to 141,896 and 219,716

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Solution

The third proportional to 141,896 and 219,716 is: 340,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,896 : 219,716 = 219,716 : x
  2. Step 2: Convert to fraction form
    141,896/219,716 = 219,716/x
  3. Step 3: Cross multiply
    141,896x = 219,716 × 219,716
  4. Step 4: Simplify right side
    141,896x = 48,275,120,656
  5. Step 5: Solve for x
    x = 48,275,120,656/141,896
  6. Step 6: Final answer
    x = 340,214.81

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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.