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Finding the Third Proportional to 146,852 and 227,206

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Solution

The third proportional to 146,852 and 227,206 is: 351,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,852 : 227,206 = 227,206 : x
  2. Step 2: Convert to fraction form
    146,852/227,206 = 227,206/x
  3. Step 3: Cross multiply
    146,852x = 227,206 × 227,206
  4. Step 4: Simplify right side
    146,852x = 51,622,566,436
  5. Step 5: Solve for x
    x = 51,622,566,436/146,852
  6. Step 6: Final answer
    x = 351,527.84

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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.