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Finding the Third Proportional to 113,180 and 248,960

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Solution

The third proportional to 113,180 and 248,960 is: 547,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,180 : 248,960 = 248,960 : x
  2. Step 2: Convert to fraction form
    113,180/248,960 = 248,960/x
  3. Step 3: Cross multiply
    113,180x = 248,960 × 248,960
  4. Step 4: Simplify right side
    113,180x = 61,981,081,600
  5. Step 5: Solve for x
    x = 61,981,081,600/113,180
  6. Step 6: Final answer
    x = 547,632.81

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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.