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Finding the Third Proportional to 206,766 and 319,216

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Solution

The third proportional to 206,766 and 319,216 is: 492,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,766 : 319,216 = 319,216 : x
  2. Step 2: Convert to fraction form
    206,766/319,216 = 319,216/x
  3. Step 3: Cross multiply
    206,766x = 319,216 × 319,216
  4. Step 4: Simplify right side
    206,766x = 101,898,854,656
  5. Step 5: Solve for x
    x = 101,898,854,656/206,766
  6. Step 6: Final answer
    x = 492,822.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.