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Finding the Third Proportional to 131,411 and 205,867

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Solution

The third proportional to 131,411 and 205,867 is: 322,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,411 : 205,867 = 205,867 : x
  2. Step 2: Convert to fraction form
    131,411/205,867 = 205,867/x
  3. Step 3: Cross multiply
    131,411x = 205,867 × 205,867
  4. Step 4: Simplify right side
    131,411x = 42,381,221,689
  5. Step 5: Solve for x
    x = 42,381,221,689/131,411
  6. Step 6: Final answer
    x = 322,508.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.