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Finding the Third Proportional to 113,760 and 248,224

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Solution

The third proportional to 113,760 and 248,224 is: 541,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,760 : 248,224 = 248,224 : x
  2. Step 2: Convert to fraction form
    113,760/248,224 = 248,224/x
  3. Step 3: Cross multiply
    113,760x = 248,224 × 248,224
  4. Step 4: Simplify right side
    113,760x = 61,615,154,176
  5. Step 5: Solve for x
    x = 61,615,154,176/113,760
  6. Step 6: Final answer
    x = 541,624.07

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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.