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Finding the Third Proportional to 154,400.50 and 231,972

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Solution

The third proportional to 154,400.50 and 231,972 is: 348,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,400.50 : 231,972 = 231,972 : x
  2. Step 2: Convert to fraction form
    154,400.50/231,972 = 231,972/x
  3. Step 3: Cross multiply
    154,400.50x = 231,972 × 231,972
  4. Step 4: Simplify right side
    154,400.50x = 53,811,008,784
  5. Step 5: Solve for x
    x = 53,811,008,784/154,400.50
  6. Step 6: Final answer
    x = 348,515.77

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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.