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Finding the Third Proportional to 206,448 and 301,708

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Solution

The third proportional to 206,448 and 301,708 is: 440,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448 : 301,708 = 301,708 : x
  2. Step 2: Convert to fraction form
    206,448/301,708 = 301,708/x
  3. Step 3: Cross multiply
    206,448x = 301,708 × 301,708
  4. Step 4: Simplify right side
    206,448x = 91,027,717,264
  5. Step 5: Solve for x
    x = 91,027,717,264/206,448
  6. Step 6: Final answer
    x = 440,923.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.