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Finding the Third Proportional to 118,451.75 and 259,047.75

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Solution

The third proportional to 118,451.75 and 259,047.75 is: 566,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,451.75 : 259,047.75 = 259,047.75 : x
  2. Step 2: Convert to fraction form
    118,451.75/259,047.75 = 259,047.75/x
  3. Step 3: Cross multiply
    118,451.75x = 259,047.75 × 259,047.75
  4. Step 4: Simplify right side
    118,451.75x = 67,105,736,780.06
  5. Step 5: Solve for x
    x = 67,105,736,780.06/118,451.75
  6. Step 6: Final answer
    x = 566,523.81

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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.