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Finding the Third Proportional to 154,248.75 and 231,367.50

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Solution

The third proportional to 154,248.75 and 231,367.50 is: 347,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,248.75 : 231,367.50 = 231,367.50 : x
  2. Step 2: Convert to fraction form
    154,248.75/231,367.50 = 231,367.50/x
  3. Step 3: Cross multiply
    154,248.75x = 231,367.50 × 231,367.50
  4. Step 4: Simplify right side
    154,248.75x = 53,530,920,056.25
  5. Step 5: Solve for x
    x = 53,530,920,056.25/154,248.75
  6. Step 6: Final answer
    x = 347,042.81

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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.