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Finding the Third Proportional to 188,800 and 291,662

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Solution

The third proportional to 188,800 and 291,662 is: 450,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,800 : 291,662 = 291,662 : x
  2. Step 2: Convert to fraction form
    188,800/291,662 = 291,662/x
  3. Step 3: Cross multiply
    188,800x = 291,662 × 291,662
  4. Step 4: Simplify right side
    188,800x = 85,066,722,244
  5. Step 5: Solve for x
    x = 85,066,722,244/188,800
  6. Step 6: Final answer
    x = 450,565.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.