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Finding the Third Proportional to 213,384 and 311,304

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Solution

The third proportional to 213,384 and 311,304 is: 454,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,384 : 311,304 = 311,304 : x
  2. Step 2: Convert to fraction form
    213,384/311,304 = 311,304/x
  3. Step 3: Cross multiply
    213,384x = 311,304 × 311,304
  4. Step 4: Simplify right side
    213,384x = 96,910,180,416
  5. Step 5: Solve for x
    x = 96,910,180,416/213,384
  6. Step 6: Final answer
    x = 454,158.61

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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.