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Finding the Third Proportional to 118,493.75 and 259,155.25

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Solution

The third proportional to 118,493.75 and 259,155.25 is: 566,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,493.75 : 259,155.25 = 259,155.25 : x
  2. Step 2: Convert to fraction form
    118,493.75/259,155.25 = 259,155.25/x
  3. Step 3: Cross multiply
    118,493.75x = 259,155.25 × 259,155.25
  4. Step 4: Simplify right side
    118,493.75x = 67,161,443,602.56
  5. Step 5: Solve for x
    x = 67,161,443,602.56/118,493.75
  6. Step 6: Final answer
    x = 566,793.13

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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.