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Finding the Third Proportional to 148,727.75 and 223,420.75

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Solution

The third proportional to 148,727.75 and 223,420.75 is: 335,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,727.75 : 223,420.75 = 223,420.75 : x
  2. Step 2: Convert to fraction form
    148,727.75/223,420.75 = 223,420.75/x
  3. Step 3: Cross multiply
    148,727.75x = 223,420.75 × 223,420.75
  4. Step 4: Simplify right side
    148,727.75x = 49,916,831,530.56
  5. Step 5: Solve for x
    x = 49,916,831,530.56/148,727.75
  6. Step 6: Final answer
    x = 335,625.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.