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Finding the Third Proportional to 117,733.50 and 241,723.50

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Solution

The third proportional to 117,733.50 and 241,723.50 is: 496,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,733.50 : 241,723.50 = 241,723.50 : x
  2. Step 2: Convert to fraction form
    117,733.50/241,723.50 = 241,723.50/x
  3. Step 3: Cross multiply
    117,733.50x = 241,723.50 × 241,723.50
  4. Step 4: Simplify right side
    117,733.50x = 58,430,250,452.25
  5. Step 5: Solve for x
    x = 58,430,250,452.25/117,733.50
  6. Step 6: Final answer
    x = 496,292.48

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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.