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Finding the Third Proportional to 183,871 and 396,788

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Solution

The third proportional to 183,871 and 396,788 is: 856,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,871 : 396,788 = 396,788 : x
  2. Step 2: Convert to fraction form
    183,871/396,788 = 396,788/x
  3. Step 3: Cross multiply
    183,871x = 396,788 × 396,788
  4. Step 4: Simplify right side
    183,871x = 157,440,716,944
  5. Step 5: Solve for x
    x = 157,440,716,944/183,871
  6. Step 6: Final answer
    x = 856,256.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.