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Finding the Third Proportional to 187,879.50 and 395,442

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Solution

The third proportional to 187,879.50 and 395,442 is: 832,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,879.50 : 395,442 = 395,442 : x
  2. Step 2: Convert to fraction form
    187,879.50/395,442 = 395,442/x
  3. Step 3: Cross multiply
    187,879.50x = 395,442 × 395,442
  4. Step 4: Simplify right side
    187,879.50x = 156,374,375,364
  5. Step 5: Solve for x
    x = 156,374,375,364/187,879.50
  6. Step 6: Final answer
    x = 832,312.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.