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Finding the Third Proportional to 141,750 and 219,324

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Solution

The third proportional to 141,750 and 219,324 is: 339,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,750 : 219,324 = 219,324 : x
  2. Step 2: Convert to fraction form
    141,750/219,324 = 219,324/x
  3. Step 3: Cross multiply
    141,750x = 219,324 × 219,324
  4. Step 4: Simplify right side
    141,750x = 48,103,016,976
  5. Step 5: Solve for x
    x = 48,103,016,976/141,750
  6. Step 6: Final answer
    x = 339,351.09

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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.