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Finding the Third Proportional to 118,158.75 and 259,277.06

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Solution

The third proportional to 118,158.75 and 259,277.06 is: 568,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,158.75 : 259,277.06 = 259,277.06 : x
  2. Step 2: Convert to fraction form
    118,158.75/259,277.06 = 259,277.06/x
  3. Step 3: Cross multiply
    118,158.75x = 259,277.06 × 259,277.06
  4. Step 4: Simplify right side
    118,158.75x = 67,224,595,138.63
  5. Step 5: Solve for x
    x = 67,224,595,138.63/118,158.75
  6. Step 6: Final answer
    x = 568,934.55

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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.