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Finding the Third Proportional to 154,293.75 and 231,440.25

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Solution

The third proportional to 154,293.75 and 231,440.25 is: 347,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,293.75 : 231,440.25 = 231,440.25 : x
  2. Step 2: Convert to fraction form
    154,293.75/231,440.25 = 231,440.25/x
  3. Step 3: Cross multiply
    154,293.75x = 231,440.25 × 231,440.25
  4. Step 4: Simplify right side
    154,293.75x = 53,564,589,320.06
  5. Step 5: Solve for x
    x = 53,564,589,320.06/154,293.75
  6. Step 6: Final answer
    x = 347,159.81

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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.