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Finding the Third Proportional to 206,853 and 316,296

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Solution

The third proportional to 206,853 and 316,296 is: 483,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,853 : 316,296 = 316,296 : x
  2. Step 2: Convert to fraction form
    206,853/316,296 = 316,296/x
  3. Step 3: Cross multiply
    206,853x = 316,296 × 316,296
  4. Step 4: Simplify right side
    206,853x = 100,043,159,616
  5. Step 5: Solve for x
    x = 100,043,159,616/206,853
  6. Step 6: Final answer
    x = 483,643.75

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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.