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Finding the Third Proportional to 118,514 and 259,199

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Solution

The third proportional to 118,514 and 259,199 is: 566,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,514 : 259,199 = 259,199 : x
  2. Step 2: Convert to fraction form
    118,514/259,199 = 259,199/x
  3. Step 3: Cross multiply
    118,514x = 259,199 × 259,199
  4. Step 4: Simplify right side
    118,514x = 67,184,121,601
  5. Step 5: Solve for x
    x = 67,184,121,601/118,514
  6. Step 6: Final answer
    x = 566,887.64

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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.