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Finding the Third Proportional to 194,702 and 431,672

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Solution

The third proportional to 194,702 and 431,672 is: 957,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,702 : 431,672 = 431,672 : x
  2. Step 2: Convert to fraction form
    194,702/431,672 = 431,672/x
  3. Step 3: Cross multiply
    194,702x = 431,672 × 431,672
  4. Step 4: Simplify right side
    194,702x = 186,340,715,584
  5. Step 5: Solve for x
    x = 186,340,715,584/194,702
  6. Step 6: Final answer
    x = 957,055.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.