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Finding the Third Proportional to 141,885 and 211,596

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Solution

The third proportional to 141,885 and 211,596 is: 315,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,885 : 211,596 = 211,596 : x
  2. Step 2: Convert to fraction form
    141,885/211,596 = 211,596/x
  3. Step 3: Cross multiply
    141,885x = 211,596 × 211,596
  4. Step 4: Simplify right side
    141,885x = 44,772,867,216
  5. Step 5: Solve for x
    x = 44,772,867,216/141,885
  6. Step 6: Final answer
    x = 315,557.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.