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Finding the Third Proportional to 228,151.69 and 341,880.75

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Solution

The third proportional to 228,151.69 and 341,880.75 is: 512,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,151.69 : 341,880.75 = 341,880.75 : x
  2. Step 2: Convert to fraction form
    228,151.69/341,880.75 = 341,880.75/x
  3. Step 3: Cross multiply
    228,151.69x = 341,880.75 × 341,880.75
  4. Step 4: Simplify right side
    228,151.69x = 116,882,447,220.56
  5. Step 5: Solve for x
    x = 116,882,447,220.56/228,151.69
  6. Step 6: Final answer
    x = 512,301.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.