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Finding the Third Proportional to 206,047.13 and 427,879.13

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Solution

The third proportional to 206,047.13 and 427,879.13 is: 888,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,047.13 : 427,879.13 = 427,879.13 : x
  2. Step 2: Convert to fraction form
    206,047.13/427,879.13 = 427,879.13/x
  3. Step 3: Cross multiply
    206,047.13x = 427,879.13 × 427,879.13
  4. Step 4: Simplify right side
    206,047.13x = 183,080,545,610.77
  5. Step 5: Solve for x
    x = 183,080,545,610.77/206,047.13
  6. Step 6: Final answer
    x = 888,537.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.