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Finding the Third Proportional to 118,597 and 259,081

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Solution

The third proportional to 118,597 and 259,081 is: 565,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,597 : 259,081 = 259,081 : x
  2. Step 2: Convert to fraction form
    118,597/259,081 = 259,081/x
  3. Step 3: Cross multiply
    118,597x = 259,081 × 259,081
  4. Step 4: Simplify right side
    118,597x = 67,122,964,561
  5. Step 5: Solve for x
    x = 67,122,964,561/118,597
  6. Step 6: Final answer
    x = 565,975.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.