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Finding the Third Proportional to 118,140.75 and 259,246.88

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Solution

The third proportional to 118,140.75 and 259,246.88 is: 568,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,140.75 : 259,246.88 = 259,246.88 : x
  2. Step 2: Convert to fraction form
    118,140.75/259,246.88 = 259,246.88/x
  3. Step 3: Cross multiply
    118,140.75x = 259,246.88 × 259,246.88
  4. Step 4: Simplify right side
    118,140.75x = 67,208,942,197.27
  5. Step 5: Solve for x
    x = 67,208,942,197.27/118,140.75
  6. Step 6: Final answer
    x = 568,888.74

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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.