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Finding the Third Proportional to 208,093 and 312,136

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Solution

The third proportional to 208,093 and 312,136 is: 468,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,093 : 312,136 = 312,136 : x
  2. Step 2: Convert to fraction form
    208,093/312,136 = 312,136/x
  3. Step 3: Cross multiply
    208,093x = 312,136 × 312,136
  4. Step 4: Simplify right side
    208,093x = 97,428,882,496
  5. Step 5: Solve for x
    x = 97,428,882,496/208,093
  6. Step 6: Final answer
    x = 468,198.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.