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Finding the Third Proportional to 187,944 and 274,860

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Solution

The third proportional to 187,944 and 274,860 is: 401,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,944 : 274,860 = 274,860 : x
  2. Step 2: Convert to fraction form
    187,944/274,860 = 274,860/x
  3. Step 3: Cross multiply
    187,944x = 274,860 × 274,860
  4. Step 4: Simplify right side
    187,944x = 75,548,019,600
  5. Step 5: Solve for x
    x = 75,548,019,600/187,944
  6. Step 6: Final answer
    x = 401,970.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.