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Finding the Third Proportional to 211,822 and 296,273

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Solution

The third proportional to 211,822 and 296,273 is: 414,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,822 : 296,273 = 296,273 : x
  2. Step 2: Convert to fraction form
    211,822/296,273 = 296,273/x
  3. Step 3: Cross multiply
    211,822x = 296,273 × 296,273
  4. Step 4: Simplify right side
    211,822x = 87,777,690,529
  5. Step 5: Solve for x
    x = 87,777,690,529/211,822
  6. Step 6: Final answer
    x = 414,393.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.