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Finding the Third Proportional to 187,981 and 405,926

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Solution

The third proportional to 187,981 and 405,926 is: 876,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,981 : 405,926 = 405,926 : x
  2. Step 2: Convert to fraction form
    187,981/405,926 = 405,926/x
  3. Step 3: Cross multiply
    187,981x = 405,926 × 405,926
  4. Step 4: Simplify right side
    187,981x = 164,775,917,476
  5. Step 5: Solve for x
    x = 164,775,917,476/187,981
  6. Step 6: Final answer
    x = 876,556.23

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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.