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Finding the Third Proportional to 206,929 and 316,410

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Solution

The third proportional to 206,929 and 316,410 is: 483,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,929 : 316,410 = 316,410 : x
  2. Step 2: Convert to fraction form
    206,929/316,410 = 316,410/x
  3. Step 3: Cross multiply
    206,929x = 316,410 × 316,410
  4. Step 4: Simplify right side
    206,929x = 100,115,288,100
  5. Step 5: Solve for x
    x = 100,115,288,100/206,929
  6. Step 6: Final answer
    x = 483,814.68

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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.