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Finding the Third Proportional to 109,568 and 227,560

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Solution

The third proportional to 109,568 and 227,560 is: 472,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,568 : 227,560 = 227,560 : x
  2. Step 2: Convert to fraction form
    109,568/227,560 = 227,560/x
  3. Step 3: Cross multiply
    109,568x = 227,560 × 227,560
  4. Step 4: Simplify right side
    109,568x = 51,783,553,600
  5. Step 5: Solve for x
    x = 51,783,553,600/109,568
  6. Step 6: Final answer
    x = 472,615.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.