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Finding the Third Proportional to 187,786.50 and 405,063

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Solution

The third proportional to 187,786.50 and 405,063 is: 873,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,786.50 : 405,063 = 405,063 : x
  2. Step 2: Convert to fraction form
    187,786.50/405,063 = 405,063/x
  3. Step 3: Cross multiply
    187,786.50x = 405,063 × 405,063
  4. Step 4: Simplify right side
    187,786.50x = 164,076,033,969
  5. Step 5: Solve for x
    x = 164,076,033,969/187,786.50
  6. Step 6: Final answer
    x = 873,737.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.