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Finding the Third Proportional to 212,613.75 and 319,882.13

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Solution

The third proportional to 212,613.75 and 319,882.13 is: 481,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,613.75 : 319,882.13 = 319,882.13 : x
  2. Step 2: Convert to fraction form
    212,613.75/319,882.13 = 319,882.13/x
  3. Step 3: Cross multiply
    212,613.75x = 319,882.13 × 319,882.13
  4. Step 4: Simplify right side
    212,613.75x = 102,324,573,894.52
  5. Step 5: Solve for x
    x = 102,324,573,894.52/212,613.75
  6. Step 6: Final answer
    x = 481,269.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.