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Finding the Third Proportional to 160,037 and 348,874

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Solution

The third proportional to 160,037 and 348,874 is: 760,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,037 : 348,874 = 348,874 : x
  2. Step 2: Convert to fraction form
    160,037/348,874 = 348,874/x
  3. Step 3: Cross multiply
    160,037x = 348,874 × 348,874
  4. Step 4: Simplify right side
    160,037x = 121,713,067,876
  5. Step 5: Solve for x
    x = 121,713,067,876/160,037
  6. Step 6: Final answer
    x = 760,530.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.