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Finding the Third Proportional to 158,198 and 244,281

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Solution

The third proportional to 158,198 and 244,281 is: 377,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,198 : 244,281 = 244,281 : x
  2. Step 2: Convert to fraction form
    158,198/244,281 = 244,281/x
  3. Step 3: Cross multiply
    158,198x = 244,281 × 244,281
  4. Step 4: Simplify right side
    158,198x = 59,673,206,961
  5. Step 5: Solve for x
    x = 59,673,206,961/158,198
  6. Step 6: Final answer
    x = 377,205.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.