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Finding the Third Proportional to 181,756 and 372,578

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Solution

The third proportional to 181,756 and 372,578 is: 763,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,756 : 372,578 = 372,578 : x
  2. Step 2: Convert to fraction form
    181,756/372,578 = 372,578/x
  3. Step 3: Cross multiply
    181,756x = 372,578 × 372,578
  4. Step 4: Simplify right side
    181,756x = 138,814,366,084
  5. Step 5: Solve for x
    x = 138,814,366,084/181,756
  6. Step 6: Final answer
    x = 763,740.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.