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Finding the Third Proportional to 185,088 and 396,456

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Solution

The third proportional to 185,088 and 396,456 is: 849,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,088 : 396,456 = 396,456 : x
  2. Step 2: Convert to fraction form
    185,088/396,456 = 396,456/x
  3. Step 3: Cross multiply
    185,088x = 396,456 × 396,456
  4. Step 4: Simplify right side
    185,088x = 157,177,359,936
  5. Step 5: Solve for x
    x = 157,177,359,936/185,088
  6. Step 6: Final answer
    x = 849,203.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.