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Finding the Third Proportional to 206,836 and 329,314

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Solution

The third proportional to 206,836 and 329,314 is: 524,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,836 : 329,314 = 329,314 : x
  2. Step 2: Convert to fraction form
    206,836/329,314 = 329,314/x
  3. Step 3: Cross multiply
    206,836x = 329,314 × 329,314
  4. Step 4: Simplify right side
    206,836x = 108,447,710,596
  5. Step 5: Solve for x
    x = 108,447,710,596/206,836
  6. Step 6: Final answer
    x = 524,317.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.