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Finding the Third Proportional to 194,862 and 418,731

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Solution

The third proportional to 194,862 and 418,731 is: 899,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,862 : 418,731 = 418,731 : x
  2. Step 2: Convert to fraction form
    194,862/418,731 = 418,731/x
  3. Step 3: Cross multiply
    194,862x = 418,731 × 418,731
  4. Step 4: Simplify right side
    194,862x = 175,335,650,361
  5. Step 5: Solve for x
    x = 175,335,650,361/194,862
  6. Step 6: Final answer
    x = 899,793.96

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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.