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Finding the Third Proportional to 168,524 and 370,944

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Solution

The third proportional to 168,524 and 370,944 is: 816,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,524 : 370,944 = 370,944 : x
  2. Step 2: Convert to fraction form
    168,524/370,944 = 370,944/x
  3. Step 3: Cross multiply
    168,524x = 370,944 × 370,944
  4. Step 4: Simplify right side
    168,524x = 137,599,451,136
  5. Step 5: Solve for x
    x = 137,599,451,136/168,524
  6. Step 6: Final answer
    x = 816,497.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.