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Finding the Third Proportional to 129,964.50 and 284,388

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Solution

The third proportional to 129,964.50 and 284,388 is: 622,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,964.50 : 284,388 = 284,388 : x
  2. Step 2: Convert to fraction form
    129,964.50/284,388 = 284,388/x
  3. Step 3: Cross multiply
    129,964.50x = 284,388 × 284,388
  4. Step 4: Simplify right side
    129,964.50x = 80,876,534,544
  5. Step 5: Solve for x
    x = 80,876,534,544/129,964.50
  6. Step 6: Final answer
    x = 622,297.12

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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.