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Finding the Third Proportional to 225,814.50 and 349,845.75

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Solution

The third proportional to 225,814.50 and 349,845.75 is: 542,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814.50 : 349,845.75 = 349,845.75 : x
  2. Step 2: Convert to fraction form
    225,814.50/349,845.75 = 349,845.75/x
  3. Step 3: Cross multiply
    225,814.50x = 349,845.75 × 349,845.75
  4. Step 4: Simplify right side
    225,814.50x = 122,392,048,793.06
  5. Step 5: Solve for x
    x = 122,392,048,793.06/225,814.50
  6. Step 6: Final answer
    x = 542,002.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.