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Finding the Third Proportional to 187,845.75 and 416,211.75

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Solution

The third proportional to 187,845.75 and 416,211.75 is: 922,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,845.75 : 416,211.75 = 416,211.75 : x
  2. Step 2: Convert to fraction form
    187,845.75/416,211.75 = 416,211.75/x
  3. Step 3: Cross multiply
    187,845.75x = 416,211.75 × 416,211.75
  4. Step 4: Simplify right side
    187,845.75x = 173,232,220,838.06
  5. Step 5: Solve for x
    x = 173,232,220,838.06/187,845.75
  6. Step 6: Final answer
    x = 922,204.63

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.