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Finding the Third Proportional to 117,734.50 and 241,725.50

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Solution

The third proportional to 117,734.50 and 241,725.50 is: 496,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,734.50 : 241,725.50 = 241,725.50 : x
  2. Step 2: Convert to fraction form
    117,734.50/241,725.50 = 241,725.50/x
  3. Step 3: Cross multiply
    117,734.50x = 241,725.50 × 241,725.50
  4. Step 4: Simplify right side
    117,734.50x = 58,431,217,350.25
  5. Step 5: Solve for x
    x = 58,431,217,350.25/117,734.50
  6. Step 6: Final answer
    x = 496,296.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.