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Finding the Third Proportional to 206,566.88 and 437,933.25

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Solution

The third proportional to 206,566.88 and 437,933.25 is: 928,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,566.88 : 437,933.25 = 437,933.25 : x
  2. Step 2: Convert to fraction form
    206,566.88/437,933.25 = 437,933.25/x
  3. Step 3: Cross multiply
    206,566.88x = 437,933.25 × 437,933.25
  4. Step 4: Simplify right side
    206,566.88x = 191,785,531,455.56
  5. Step 5: Solve for x
    x = 191,785,531,455.56/206,566.88
  6. Step 6: Final answer
    x = 928,442.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.