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Finding the Third Proportional to 187,858 and 416,229

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Solution

The third proportional to 187,858 and 416,229 is: 922,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,858 : 416,229 = 416,229 : x
  2. Step 2: Convert to fraction form
    187,858/416,229 = 416,229/x
  3. Step 3: Cross multiply
    187,858x = 416,229 × 416,229
  4. Step 4: Simplify right side
    187,858x = 173,246,580,441
  5. Step 5: Solve for x
    x = 173,246,580,441/187,858
  6. Step 6: Final answer
    x = 922,220.94

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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.