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Finding the Third Proportional to 117,237 and 252,250

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Solution

The third proportional to 117,237 and 252,250 is: 542,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,237 : 252,250 = 252,250 : x
  2. Step 2: Convert to fraction form
    117,237/252,250 = 252,250/x
  3. Step 3: Cross multiply
    117,237x = 252,250 × 252,250
  4. Step 4: Simplify right side
    117,237x = 63,630,062,500
  5. Step 5: Solve for x
    x = 63,630,062,500/117,237
  6. Step 6: Final answer
    x = 542,747.28

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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.