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Finding the Third Proportional to 135,924 and 206,883

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Solution

The third proportional to 135,924 and 206,883 is: 314,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,924 : 206,883 = 206,883 : x
  2. Step 2: Convert to fraction form
    135,924/206,883 = 206,883/x
  3. Step 3: Cross multiply
    135,924x = 206,883 × 206,883
  4. Step 4: Simplify right side
    135,924x = 42,800,575,689
  5. Step 5: Solve for x
    x = 42,800,575,689/135,924
  6. Step 6: Final answer
    x = 314,886.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.