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Finding the Third Proportional to 118,188 and 259,339.50

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Solution

The third proportional to 118,188 and 259,339.50 is: 569,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,188 : 259,339.50 = 259,339.50 : x
  2. Step 2: Convert to fraction form
    118,188/259,339.50 = 259,339.50/x
  3. Step 3: Cross multiply
    118,188x = 259,339.50 × 259,339.50
  4. Step 4: Simplify right side
    118,188x = 67,256,976,260.25
  5. Step 5: Solve for x
    x = 67,256,976,260.25/118,188
  6. Step 6: Final answer
    x = 569,067.72

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