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Finding the Third Proportional to 187,161 and 405,850.50

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Solution

The third proportional to 187,161 and 405,850.50 is: 880,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,161 : 405,850.50 = 405,850.50 : x
  2. Step 2: Convert to fraction form
    187,161/405,850.50 = 405,850.50/x
  3. Step 3: Cross multiply
    187,161x = 405,850.50 × 405,850.50
  4. Step 4: Simplify right side
    187,161x = 164,714,628,350.25
  5. Step 5: Solve for x
    x = 164,714,628,350.25/187,161
  6. Step 6: Final answer
    x = 880,069.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.