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Finding the Third Proportional to 117,338 and 252,367

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Solution

The third proportional to 117,338 and 252,367 is: 542,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,338 : 252,367 = 252,367 : x
  2. Step 2: Convert to fraction form
    117,338/252,367 = 252,367/x
  3. Step 3: Cross multiply
    117,338x = 252,367 × 252,367
  4. Step 4: Simplify right side
    117,338x = 63,689,102,689
  5. Step 5: Solve for x
    x = 63,689,102,689/117,338
  6. Step 6: Final answer
    x = 542,783.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.