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Finding the Third Proportional to 135,884 and 205,878

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Solution

The third proportional to 135,884 and 205,878 is: 311,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884 : 205,878 = 205,878 : x
  2. Step 2: Convert to fraction form
    135,884/205,878 = 205,878/x
  3. Step 3: Cross multiply
    135,884x = 205,878 × 205,878
  4. Step 4: Simplify right side
    135,884x = 42,385,750,884
  5. Step 5: Solve for x
    x = 42,385,750,884/135,884
  6. Step 6: Final answer
    x = 311,925.99

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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.