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Finding the Third Proportional to 228,226.50 and 355,255.13

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Solution

The third proportional to 228,226.50 and 355,255.13 is: 552,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,226.50 : 355,255.13 = 355,255.13 : x
  2. Step 2: Convert to fraction form
    228,226.50/355,255.13 = 355,255.13/x
  3. Step 3: Cross multiply
    228,226.50x = 355,255.13 × 355,255.13
  4. Step 4: Simplify right side
    228,226.50x = 126,206,203,838.77
  5. Step 5: Solve for x
    x = 126,206,203,838.77/228,226.50
  6. Step 6: Final answer
    x = 552,986.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.