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Finding the Third Proportional to 205,272 and 326,881

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Solution

The third proportional to 205,272 and 326,881 is: 520,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,272 : 326,881 = 326,881 : x
  2. Step 2: Convert to fraction form
    205,272/326,881 = 326,881/x
  3. Step 3: Cross multiply
    205,272x = 326,881 × 326,881
  4. Step 4: Simplify right side
    205,272x = 106,851,188,161
  5. Step 5: Solve for x
    x = 106,851,188,161/205,272
  6. Step 6: Final answer
    x = 520,534.65

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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.