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Finding the Third Proportional to 187,151.72 and 405,832.31

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Solution

The third proportional to 187,151.72 and 405,832.31 is: 880,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,151.72 : 405,832.31 = 405,832.31 : x
  2. Step 2: Convert to fraction form
    187,151.72/405,832.31 = 405,832.31/x
  3. Step 3: Cross multiply
    187,151.72x = 405,832.31 × 405,832.31
  4. Step 4: Simplify right side
    187,151.72x = 164,699,865,869.10
  5. Step 5: Solve for x
    x = 164,699,865,869.10/187,151.72
  6. Step 6: Final answer
    x = 880,033.95

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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.