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Finding the Third Proportional to 187,172.25 and 405,876

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Solution

The third proportional to 187,172.25 and 405,876 is: 880,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,172.25 : 405,876 = 405,876 : x
  2. Step 2: Convert to fraction form
    187,172.25/405,876 = 405,876/x
  3. Step 3: Cross multiply
    187,172.25x = 405,876 × 405,876
  4. Step 4: Simplify right side
    187,172.25x = 164,735,327,376
  5. Step 5: Solve for x
    x = 164,735,327,376/187,172.25
  6. Step 6: Final answer
    x = 880,126.87

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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.