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Finding the Third Proportional to 166,294 and 376,980

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Solution

The third proportional to 166,294 and 376,980 is: 854,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,294 : 376,980 = 376,980 : x
  2. Step 2: Convert to fraction form
    166,294/376,980 = 376,980/x
  3. Step 3: Cross multiply
    166,294x = 376,980 × 376,980
  4. Step 4: Simplify right side
    166,294x = 142,113,920,400
  5. Step 5: Solve for x
    x = 142,113,920,400/166,294
  6. Step 6: Final answer
    x = 854,594.40

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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.