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Finding the Third Proportional to 194,976 and 418,968

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Solution

The third proportional to 194,976 and 418,968 is: 900,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976 : 418,968 = 418,968 : x
  2. Step 2: Convert to fraction form
    194,976/418,968 = 418,968/x
  3. Step 3: Cross multiply
    194,976x = 418,968 × 418,968
  4. Step 4: Simplify right side
    194,976x = 175,534,185,024
  5. Step 5: Solve for x
    x = 175,534,185,024/194,976
  6. Step 6: Final answer
    x = 900,286.11

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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.