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Finding the Third Proportional to 149,544.25 and 229,859.75

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Solution

The third proportional to 149,544.25 and 229,859.75 is: 353,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,544.25 : 229,859.75 = 229,859.75 : x
  2. Step 2: Convert to fraction form
    149,544.25/229,859.75 = 229,859.75/x
  3. Step 3: Cross multiply
    149,544.25x = 229,859.75 × 229,859.75
  4. Step 4: Simplify right side
    149,544.25x = 52,835,504,670.06
  5. Step 5: Solve for x
    x = 52,835,504,670.06/149,544.25
  6. Step 6: Final answer
    x = 353,310.17

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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.