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Finding the Third Proportional to 115,577 and 248,398

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Solution

The third proportional to 115,577 and 248,398 is: 533,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,577 : 248,398 = 248,398 : x
  2. Step 2: Convert to fraction form
    115,577/248,398 = 248,398/x
  3. Step 3: Cross multiply
    115,577x = 248,398 × 248,398
  4. Step 4: Simplify right side
    115,577x = 61,701,566,404
  5. Step 5: Solve for x
    x = 61,701,566,404/115,577
  6. Step 6: Final answer
    x = 533,856.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.