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Finding the Third Proportional to 181,671 and 391,108.50

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Solution

The third proportional to 181,671 and 391,108.50 is: 841,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,671 : 391,108.50 = 391,108.50 : x
  2. Step 2: Convert to fraction form
    181,671/391,108.50 = 391,108.50/x
  3. Step 3: Cross multiply
    181,671x = 391,108.50 × 391,108.50
  4. Step 4: Simplify right side
    181,671x = 152,965,858,772.25
  5. Step 5: Solve for x
    x = 152,965,858,772.25/181,671
  6. Step 6: Final answer
    x = 841,993.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.