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Finding the Third Proportional to 118,150.38 and 259,264.25

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Solution

The third proportional to 118,150.38 and 259,264.25 is: 568,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,150.38 : 259,264.25 = 259,264.25 : x
  2. Step 2: Convert to fraction form
    118,150.38/259,264.25 = 259,264.25/x
  3. Step 3: Cross multiply
    118,150.38x = 259,264.25 × 259,264.25
  4. Step 4: Simplify right side
    118,150.38x = 67,217,951,328.06
  5. Step 5: Solve for x
    x = 67,217,951,328.06/118,150.38
  6. Step 6: Final answer
    x = 568,918.65

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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.