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Finding the Third Proportional to 160,876 and 353,342

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Solution

The third proportional to 160,876 and 353,342 is: 776,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,876 : 353,342 = 353,342 : x
  2. Step 2: Convert to fraction form
    160,876/353,342 = 353,342/x
  3. Step 3: Cross multiply
    160,876x = 353,342 × 353,342
  4. Step 4: Simplify right side
    160,876x = 124,850,568,964
  5. Step 5: Solve for x
    x = 124,850,568,964/160,876
  6. Step 6: Final answer
    x = 776,067.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.