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Finding the Third Proportional to 182,799 and 388,878

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Solution

The third proportional to 182,799 and 388,878 is: 827,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,799 : 388,878 = 388,878 : x
  2. Step 2: Convert to fraction form
    182,799/388,878 = 388,878/x
  3. Step 3: Cross multiply
    182,799x = 388,878 × 388,878
  4. Step 4: Simplify right side
    182,799x = 151,226,098,884
  5. Step 5: Solve for x
    x = 151,226,098,884/182,799
  6. Step 6: Final answer
    x = 827,280.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.