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Finding the Third Proportional to 123,814.50 and 204,855

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Solution

The third proportional to 123,814.50 and 204,855 is: 338,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814.50 : 204,855 = 204,855 : x
  2. Step 2: Convert to fraction form
    123,814.50/204,855 = 204,855/x
  3. Step 3: Cross multiply
    123,814.50x = 204,855 × 204,855
  4. Step 4: Simplify right side
    123,814.50x = 41,965,571,025
  5. Step 5: Solve for x
    x = 41,965,571,025/123,814.50
  6. Step 6: Final answer
    x = 338,939.07

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.