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Finding the Third Proportional to 269,066 and 403,131

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Solution

The third proportional to 269,066 and 403,131 is: 603,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,066 : 403,131 = 403,131 : x
  2. Step 2: Convert to fraction form
    269,066/403,131 = 403,131/x
  3. Step 3: Cross multiply
    269,066x = 403,131 × 403,131
  4. Step 4: Simplify right side
    269,066x = 162,514,603,161
  5. Step 5: Solve for x
    x = 162,514,603,161/269,066
  6. Step 6: Final answer
    x = 603,995.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.