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Finding the Third Proportional to 187,871 and 416,255

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Solution

The third proportional to 187,871 and 416,255 is: 922,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,871 : 416,255 = 416,255 : x
  2. Step 2: Convert to fraction form
    187,871/416,255 = 416,255/x
  3. Step 3: Cross multiply
    187,871x = 416,255 × 416,255
  4. Step 4: Simplify right side
    187,871x = 173,268,225,025
  5. Step 5: Solve for x
    x = 173,268,225,025/187,871
  6. Step 6: Final answer
    x = 922,272.33

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Why These Related Problems?

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