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Finding the Third Proportional to 166,301 and 376,994

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Solution

The third proportional to 166,301 and 376,994 is: 854,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,301 : 376,994 = 376,994 : x
  2. Step 2: Convert to fraction form
    166,301/376,994 = 376,994/x
  3. Step 3: Cross multiply
    166,301x = 376,994 × 376,994
  4. Step 4: Simplify right side
    166,301x = 142,124,476,036
  5. Step 5: Solve for x
    x = 142,124,476,036/166,301
  6. Step 6: Final answer
    x = 854,621.90

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.