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Finding the Third Proportional to 149,593.50 and 229,923

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Solution

The third proportional to 149,593.50 and 229,923 is: 353,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,593.50 : 229,923 = 229,923 : x
  2. Step 2: Convert to fraction form
    149,593.50/229,923 = 229,923/x
  3. Step 3: Cross multiply
    149,593.50x = 229,923 × 229,923
  4. Step 4: Simplify right side
    149,593.50x = 52,864,585,929
  5. Step 5: Solve for x
    x = 52,864,585,929/149,593.50
  6. Step 6: Final answer
    x = 353,388.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.