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Finding the Third Proportional to 206,352 and 311,184

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Solution

The third proportional to 206,352 and 311,184 is: 469,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,352 : 311,184 = 311,184 : x
  2. Step 2: Convert to fraction form
    206,352/311,184 = 311,184/x
  3. Step 3: Cross multiply
    206,352x = 311,184 × 311,184
  4. Step 4: Simplify right side
    206,352x = 96,835,481,856
  5. Step 5: Solve for x
    x = 96,835,481,856/206,352
  6. Step 6: Final answer
    x = 469,273.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.