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Finding the Third Proportional to 206,392 and 315,502

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Solution

The third proportional to 206,392 and 315,502 is: 482,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,392 : 315,502 = 315,502 : x
  2. Step 2: Convert to fraction form
    206,392/315,502 = 315,502/x
  3. Step 3: Cross multiply
    206,392x = 315,502 × 315,502
  4. Step 4: Simplify right side
    206,392x = 99,541,512,004
  5. Step 5: Solve for x
    x = 99,541,512,004/206,392
  6. Step 6: Final answer
    x = 482,293.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.