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Finding the Third Proportional to 194,970 and 418,956

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Solution

The third proportional to 194,970 and 418,956 is: 900,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,970 : 418,956 = 418,956 : x
  2. Step 2: Convert to fraction form
    194,970/418,956 = 418,956/x
  3. Step 3: Cross multiply
    194,970x = 418,956 × 418,956
  4. Step 4: Simplify right side
    194,970x = 175,524,129,936
  5. Step 5: Solve for x
    x = 175,524,129,936/194,970
  6. Step 6: Final answer
    x = 900,262.25

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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.