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Finding the Third Proportional to 146,851.73 and 227,193.19

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Solution

The third proportional to 146,851.73 and 227,193.19 is: 351,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,851.73 : 227,193.19 = 227,193.19 : x
  2. Step 2: Convert to fraction form
    146,851.73/227,193.19 = 227,193.19/x
  3. Step 3: Cross multiply
    146,851.73x = 227,193.19 × 227,193.19
  4. Step 4: Simplify right side
    146,851.73x = 51,616,744,446.41
  5. Step 5: Solve for x
    x = 51,616,744,446.41/146,851.73
  6. Step 6: Final answer
    x = 351,488.83

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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.