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Finding the Third Proportional to 187,928 and 291,180

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Solution

The third proportional to 187,928 and 291,180 is: 451,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,928 : 291,180 = 291,180 : x
  2. Step 2: Convert to fraction form
    187,928/291,180 = 291,180/x
  3. Step 3: Cross multiply
    187,928x = 291,180 × 291,180
  4. Step 4: Simplify right side
    187,928x = 84,785,792,400
  5. Step 5: Solve for x
    x = 84,785,792,400/187,928
  6. Step 6: Final answer
    x = 451,161.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.