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Finding the Third Proportional to 185,108 and 396,461

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Solution

The third proportional to 185,108 and 396,461 is: 849,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,108 : 396,461 = 396,461 : x
  2. Step 2: Convert to fraction form
    185,108/396,461 = 396,461/x
  3. Step 3: Cross multiply
    185,108x = 396,461 × 396,461
  4. Step 4: Simplify right side
    185,108x = 157,181,324,521
  5. Step 5: Solve for x
    x = 157,181,324,521/185,108
  6. Step 6: Final answer
    x = 849,133.07

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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.