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Finding the Third Proportional to 148,125 and 223,494

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Solution

The third proportional to 148,125 and 223,494 is: 337,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,125 : 223,494 = 223,494 : x
  2. Step 2: Convert to fraction form
    148,125/223,494 = 223,494/x
  3. Step 3: Cross multiply
    148,125x = 223,494 × 223,494
  4. Step 4: Simplify right side
    148,125x = 49,949,568,036
  5. Step 5: Solve for x
    x = 49,949,568,036/148,125
  6. Step 6: Final answer
    x = 337,212.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.