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Finding the Third Proportional to 212,292 and 309,687

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Solution

The third proportional to 212,292 and 309,687 is: 451,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,292 : 309,687 = 309,687 : x
  2. Step 2: Convert to fraction form
    212,292/309,687 = 309,687/x
  3. Step 3: Cross multiply
    212,292x = 309,687 × 309,687
  4. Step 4: Simplify right side
    212,292x = 95,906,037,969
  5. Step 5: Solve for x
    x = 95,906,037,969/212,292
  6. Step 6: Final answer
    x = 451,764.73

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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.