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Finding the Third Proportional to 166,540 and 374,878

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Solution

The third proportional to 166,540 and 374,878 is: 843,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,540 : 374,878 = 374,878 : x
  2. Step 2: Convert to fraction form
    166,540/374,878 = 374,878/x
  3. Step 3: Cross multiply
    166,540x = 374,878 × 374,878
  4. Step 4: Simplify right side
    166,540x = 140,533,514,884
  5. Step 5: Solve for x
    x = 140,533,514,884/166,540
  6. Step 6: Final answer
    x = 843,842.41

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.