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Finding the Third Proportional to 200,717 and 293,539

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Solution

The third proportional to 200,717 and 293,539 is: 429,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,717 : 293,539 = 293,539 : x
  2. Step 2: Convert to fraction form
    200,717/293,539 = 293,539/x
  3. Step 3: Cross multiply
    200,717x = 293,539 × 293,539
  4. Step 4: Simplify right side
    200,717x = 86,165,144,521
  5. Step 5: Solve for x
    x = 86,165,144,521/200,717
  6. Step 6: Final answer
    x = 429,286.73

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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.