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Finding the Third Proportional to 188,250 and 367,041

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Solution

The third proportional to 188,250 and 367,041 is: 715,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,250 : 367,041 = 367,041 : x
  2. Step 2: Convert to fraction form
    188,250/367,041 = 367,041/x
  3. Step 3: Cross multiply
    188,250x = 367,041 × 367,041
  4. Step 4: Simplify right side
    188,250x = 134,719,095,681
  5. Step 5: Solve for x
    x = 134,719,095,681/188,250
  6. Step 6: Final answer
    x = 715,639.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.