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Finding the Third Proportional to 118,134 and 259,231.50

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Solution

The third proportional to 118,134 and 259,231.50 is: 568,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,134 : 259,231.50 = 259,231.50 : x
  2. Step 2: Convert to fraction form
    118,134/259,231.50 = 259,231.50/x
  3. Step 3: Cross multiply
    118,134x = 259,231.50 × 259,231.50
  4. Step 4: Simplify right side
    118,134x = 67,200,970,592.25
  5. Step 5: Solve for x
    x = 67,200,970,592.25/118,134
  6. Step 6: Final answer
    x = 568,853.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.