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Finding the Third Proportional to 185,916 and 401,349

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Solution

The third proportional to 185,916 and 401,349 is: 866,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,916 : 401,349 = 401,349 : x
  2. Step 2: Convert to fraction form
    185,916/401,349 = 401,349/x
  3. Step 3: Cross multiply
    185,916x = 401,349 × 401,349
  4. Step 4: Simplify right side
    185,916x = 161,081,019,801
  5. Step 5: Solve for x
    x = 161,081,019,801/185,916
  6. Step 6: Final answer
    x = 866,418.27

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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.