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Finding the Third Proportional to 206,504 and 303,708

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Solution

The third proportional to 206,504 and 303,708 is: 446,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,504 : 303,708 = 303,708 : x
  2. Step 2: Convert to fraction form
    206,504/303,708 = 303,708/x
  3. Step 3: Cross multiply
    206,504x = 303,708 × 303,708
  4. Step 4: Simplify right side
    206,504x = 92,238,549,264
  5. Step 5: Solve for x
    x = 92,238,549,264/206,504
  6. Step 6: Final answer
    x = 446,667.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.