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Finding the Third Proportional to 211,446 and 309,231

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Solution

The third proportional to 211,446 and 309,231 is: 452,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,446 : 309,231 = 309,231 : x
  2. Step 2: Convert to fraction form
    211,446/309,231 = 309,231/x
  3. Step 3: Cross multiply
    211,446x = 309,231 × 309,231
  4. Step 4: Simplify right side
    211,446x = 95,623,811,361
  5. Step 5: Solve for x
    x = 95,623,811,361/211,446
  6. Step 6: Final answer
    x = 452,237.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.