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Finding the Third Proportional to 228,178.69 and 355,162.22

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Solution

The third proportional to 228,178.69 and 355,162.22 is: 552,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,178.69 : 355,162.22 = 355,162.22 : x
  2. Step 2: Convert to fraction form
    228,178.69/355,162.22 = 355,162.22/x
  3. Step 3: Cross multiply
    228,178.69x = 355,162.22 × 355,162.22
  4. Step 4: Simplify right side
    228,178.69x = 126,140,201,627.42
  5. Step 5: Solve for x
    x = 126,140,201,627.42/228,178.69
  6. Step 6: Final answer
    x = 552,813.25

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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.