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Finding the Third Proportional to 154,830.66 and 226,270.97

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Solution

The third proportional to 154,830.66 and 226,270.97 is: 330,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,830.66 : 226,270.97 = 226,270.97 : x
  2. Step 2: Convert to fraction form
    154,830.66/226,270.97 = 226,270.97/x
  3. Step 3: Cross multiply
    154,830.66x = 226,270.97 × 226,270.97
  4. Step 4: Simplify right side
    154,830.66x = 51,198,551,299.06
  5. Step 5: Solve for x
    x = 51,198,551,299.06/154,830.66
  6. Step 6: Final answer
    x = 330,674.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.