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Finding the Third Proportional to 234,103.50 and 512,811

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Solution

The third proportional to 234,103.50 and 512,811 is: 1,123,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,103.50 : 512,811 = 512,811 : x
  2. Step 2: Convert to fraction form
    234,103.50/512,811 = 512,811/x
  3. Step 3: Cross multiply
    234,103.50x = 512,811 × 512,811
  4. Step 4: Simplify right side
    234,103.50x = 262,975,121,721
  5. Step 5: Solve for x
    x = 262,975,121,721/234,103.50
  6. Step 6: Final answer
    x = 1,123,328.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.