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Finding the Third Proportional to 154,839.75 and 229,380.75

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Solution

The third proportional to 154,839.75 and 229,380.75 is: 339,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,839.75 : 229,380.75 = 229,380.75 : x
  2. Step 2: Convert to fraction form
    154,839.75/229,380.75 = 229,380.75/x
  3. Step 3: Cross multiply
    154,839.75x = 229,380.75 × 229,380.75
  4. Step 4: Simplify right side
    154,839.75x = 52,615,528,470.56
  5. Step 5: Solve for x
    x = 52,615,528,470.56/154,839.75
  6. Step 6: Final answer
    x = 339,806.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.