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Finding the Third Proportional to 122,652 and 227,808

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Solution

The third proportional to 122,652 and 227,808 is: 423,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,652 : 227,808 = 227,808 : x
  2. Step 2: Convert to fraction form
    122,652/227,808 = 227,808/x
  3. Step 3: Cross multiply
    122,652x = 227,808 × 227,808
  4. Step 4: Simplify right side
    122,652x = 51,896,484,864
  5. Step 5: Solve for x
    x = 51,896,484,864/122,652
  6. Step 6: Final answer
    x = 423,119.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.