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Finding the Third Proportional to 115,397 and 260,425

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Solution

The third proportional to 115,397 and 260,425 is: 587,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,397 : 260,425 = 260,425 : x
  2. Step 2: Convert to fraction form
    115,397/260,425 = 260,425/x
  3. Step 3: Cross multiply
    115,397x = 260,425 × 260,425
  4. Step 4: Simplify right side
    115,397x = 67,821,180,625
  5. Step 5: Solve for x
    x = 67,821,180,625/115,397
  6. Step 6: Final answer
    x = 587,720.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.