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Finding the Third Proportional to 206,069 and 326,924

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Solution

The third proportional to 206,069 and 326,924 is: 518,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,069 : 326,924 = 326,924 : x
  2. Step 2: Convert to fraction form
    206,069/326,924 = 326,924/x
  3. Step 3: Cross multiply
    206,069x = 326,924 × 326,924
  4. Step 4: Simplify right side
    206,069x = 106,879,301,776
  5. Step 5: Solve for x
    x = 106,879,301,776/206,069
  6. Step 6: Final answer
    x = 518,657.84

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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.