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Finding the Third Proportional to 154,204.86 and 230,027.98

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Solution

The third proportional to 154,204.86 and 230,027.98 is: 343,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,204.86 : 230,027.98 = 230,027.98 : x
  2. Step 2: Convert to fraction form
    154,204.86/230,027.98 = 230,027.98/x
  3. Step 3: Cross multiply
    154,204.86x = 230,027.98 × 230,027.98
  4. Step 4: Simplify right side
    154,204.86x = 52,912,870,001.44
  5. Step 5: Solve for x
    x = 52,912,870,001.44/154,204.86
  6. Step 6: Final answer
    x = 343,133.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.