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Finding the Third Proportional to 206,442 and 290,717

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Solution

The third proportional to 206,442 and 290,717 is: 409,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,442 : 290,717 = 290,717 : x
  2. Step 2: Convert to fraction form
    206,442/290,717 = 290,717/x
  3. Step 3: Cross multiply
    206,442x = 290,717 × 290,717
  4. Step 4: Simplify right side
    206,442x = 84,516,374,089
  5. Step 5: Solve for x
    x = 84,516,374,089/206,442
  6. Step 6: Final answer
    x = 409,395.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.