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Finding the Third Proportional to 118,596 and 259,080

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Solution

The third proportional to 118,596 and 259,080 is: 565,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,596 : 259,080 = 259,080 : x
  2. Step 2: Convert to fraction form
    118,596/259,080 = 259,080/x
  3. Step 3: Cross multiply
    118,596x = 259,080 × 259,080
  4. Step 4: Simplify right side
    118,596x = 67,122,446,400
  5. Step 5: Solve for x
    x = 67,122,446,400/118,596
  6. Step 6: Final answer
    x = 565,975.63

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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.