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Finding the Third Proportional to 160,785 and 350,142

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Solution

The third proportional to 160,785 and 350,142 is: 762,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,785 : 350,142 = 350,142 : x
  2. Step 2: Convert to fraction form
    160,785/350,142 = 350,142/x
  3. Step 3: Cross multiply
    160,785x = 350,142 × 350,142
  4. Step 4: Simplify right side
    160,785x = 122,599,420,164
  5. Step 5: Solve for x
    x = 122,599,420,164/160,785
  6. Step 6: Final answer
    x = 762,505.33

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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.