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Finding the Third Proportional to 224,980 and 316,419

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Solution

The third proportional to 224,980 and 316,419 is: 445,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,980 : 316,419 = 316,419 : x
  2. Step 2: Convert to fraction form
    224,980/316,419 = 316,419/x
  3. Step 3: Cross multiply
    224,980x = 316,419 × 316,419
  4. Step 4: Simplify right side
    224,980x = 100,120,983,561
  5. Step 5: Solve for x
    x = 100,120,983,561/224,980
  6. Step 6: Final answer
    x = 445,021.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.