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Finding the Third Proportional to 117,732 and 254,782

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Solution

The third proportional to 117,732 and 254,782 is: 551,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,732 : 254,782 = 254,782 : x
  2. Step 2: Convert to fraction form
    117,732/254,782 = 254,782/x
  3. Step 3: Cross multiply
    117,732x = 254,782 × 254,782
  4. Step 4: Simplify right side
    117,732x = 64,913,867,524
  5. Step 5: Solve for x
    x = 64,913,867,524/117,732
  6. Step 6: Final answer
    x = 551,369.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.