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Finding the Third Proportional to 146,850 and 227,203

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Solution

The third proportional to 146,850 and 227,203 is: 351,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,850 : 227,203 = 227,203 : x
  2. Step 2: Convert to fraction form
    146,850/227,203 = 227,203/x
  3. Step 3: Cross multiply
    146,850x = 227,203 × 227,203
  4. Step 4: Simplify right side
    146,850x = 51,621,203,209
  5. Step 5: Solve for x
    x = 51,621,203,209/146,850
  6. Step 6: Final answer
    x = 351,523.34

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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.