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Finding the Third Proportional to 194,814 and 418,761

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Solution

The third proportional to 194,814 and 418,761 is: 900,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,814 : 418,761 = 418,761 : x
  2. Step 2: Convert to fraction form
    194,814/418,761 = 418,761/x
  3. Step 3: Cross multiply
    194,814x = 418,761 × 418,761
  4. Step 4: Simplify right side
    194,814x = 175,360,775,121
  5. Step 5: Solve for x
    x = 175,360,775,121/194,814
  6. Step 6: Final answer
    x = 900,144.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.