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Finding the Third Proportional to 131,314.50 and 191,229

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Solution

The third proportional to 131,314.50 and 191,229 is: 278,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,314.50 : 191,229 = 191,229 : x
  2. Step 2: Convert to fraction form
    131,314.50/191,229 = 191,229/x
  3. Step 3: Cross multiply
    131,314.50x = 191,229 × 191,229
  4. Step 4: Simplify right side
    131,314.50x = 36,568,530,441
  5. Step 5: Solve for x
    x = 36,568,530,441/131,314.50
  6. Step 6: Final answer
    x = 278,480.52

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