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Finding the Third Proportional to 111,577 and 245,267

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Solution

The third proportional to 111,577 and 245,267 is: 539,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,577 : 245,267 = 245,267 : x
  2. Step 2: Convert to fraction form
    111,577/245,267 = 245,267/x
  3. Step 3: Cross multiply
    111,577x = 245,267 × 245,267
  4. Step 4: Simplify right side
    111,577x = 60,155,901,289
  5. Step 5: Solve for x
    x = 60,155,901,289/111,577
  6. Step 6: Final answer
    x = 539,142.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.