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Finding the Third Proportional to 194,918 and 427,062

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Solution

The third proportional to 194,918 and 427,062 is: 935,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,918 : 427,062 = 427,062 : x
  2. Step 2: Convert to fraction form
    194,918/427,062 = 427,062/x
  3. Step 3: Cross multiply
    194,918x = 427,062 × 427,062
  4. Step 4: Simplify right side
    194,918x = 182,381,951,844
  5. Step 5: Solve for x
    x = 182,381,951,844/194,918
  6. Step 6: Final answer
    x = 935,685.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.