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Finding the Third Proportional to 146,984 and 227,104

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Solution

The third proportional to 146,984 and 227,104 is: 350,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,984 : 227,104 = 227,104 : x
  2. Step 2: Convert to fraction form
    146,984/227,104 = 227,104/x
  3. Step 3: Cross multiply
    146,984x = 227,104 × 227,104
  4. Step 4: Simplify right side
    146,984x = 51,576,226,816
  5. Step 5: Solve for x
    x = 51,576,226,816/146,984
  6. Step 6: Final answer
    x = 350,896.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.