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Finding the Third Proportional to 160,782 and 350,136

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Solution

The third proportional to 160,782 and 350,136 is: 762,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,782 : 350,136 = 350,136 : x
  2. Step 2: Convert to fraction form
    160,782/350,136 = 350,136/x
  3. Step 3: Cross multiply
    160,782x = 350,136 × 350,136
  4. Step 4: Simplify right side
    160,782x = 122,595,218,496
  5. Step 5: Solve for x
    x = 122,595,218,496/160,782
  6. Step 6: Final answer
    x = 762,493.43

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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.