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Finding the Third Proportional to 188,812 and 201,752

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Solution

The third proportional to 188,812 and 201,752 is: 215,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,812 : 201,752 = 201,752 : x
  2. Step 2: Convert to fraction form
    188,812/201,752 = 201,752/x
  3. Step 3: Cross multiply
    188,812x = 201,752 × 201,752
  4. Step 4: Simplify right side
    188,812x = 40,703,869,504
  5. Step 5: Solve for x
    x = 40,703,869,504/188,812
  6. Step 6: Final answer
    x = 215,578.83

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.