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Finding the Third Proportional to 187,165 and 405,856

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Solution

The third proportional to 187,165 and 405,856 is: 880,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,165 : 405,856 = 405,856 : x
  2. Step 2: Convert to fraction form
    187,165/405,856 = 405,856/x
  3. Step 3: Cross multiply
    187,165x = 405,856 × 405,856
  4. Step 4: Simplify right side
    187,165x = 164,719,092,736
  5. Step 5: Solve for x
    x = 164,719,092,736/187,165
  6. Step 6: Final answer
    x = 880,074.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.