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Finding the Third Proportional to 190,876 and 431,242

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Solution

The third proportional to 190,876 and 431,242 is: 974,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,876 : 431,242 = 431,242 : x
  2. Step 2: Convert to fraction form
    190,876/431,242 = 431,242/x
  3. Step 3: Cross multiply
    190,876x = 431,242 × 431,242
  4. Step 4: Simplify right side
    190,876x = 185,969,662,564
  5. Step 5: Solve for x
    x = 185,969,662,564/190,876
  6. Step 6: Final answer
    x = 974,295.68

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.