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Finding the Third Proportional to 194,112 and 418,032

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Solution

The third proportional to 194,112 and 418,032 is: 900,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,112 : 418,032 = 418,032 : x
  2. Step 2: Convert to fraction form
    194,112/418,032 = 418,032/x
  3. Step 3: Cross multiply
    194,112x = 418,032 × 418,032
  4. Step 4: Simplify right side
    194,112x = 174,750,753,024
  5. Step 5: Solve for x
    x = 174,750,753,024/194,112
  6. Step 6: Final answer
    x = 900,257.34

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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.