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Finding the Third Proportional to 202,291 and 291,394

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Solution

The third proportional to 202,291 and 291,394 is: 419,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,291 : 291,394 = 291,394 : x
  2. Step 2: Convert to fraction form
    202,291/291,394 = 291,394/x
  3. Step 3: Cross multiply
    202,291x = 291,394 × 291,394
  4. Step 4: Simplify right side
    202,291x = 84,910,463,236
  5. Step 5: Solve for x
    x = 84,910,463,236/202,291
  6. Step 6: Final answer
    x = 419,744.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.