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Finding the Third Proportional to 188,264 and 367,071

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Solution

The third proportional to 188,264 and 367,071 is: 715,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,264 : 367,071 = 367,071 : x
  2. Step 2: Convert to fraction form
    188,264/367,071 = 367,071/x
  3. Step 3: Cross multiply
    188,264x = 367,071 × 367,071
  4. Step 4: Simplify right side
    188,264x = 134,741,119,041
  5. Step 5: Solve for x
    x = 134,741,119,041/188,264
  6. Step 6: Final answer
    x = 715,703.05

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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.