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Finding the Third Proportional to 206,683.31 and 442,889.44

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Solution

The third proportional to 206,683.31 and 442,889.44 is: 949,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,683.31 : 442,889.44 = 442,889.44 : x
  2. Step 2: Convert to fraction form
    206,683.31/442,889.44 = 442,889.44/x
  3. Step 3: Cross multiply
    206,683.31x = 442,889.44 × 442,889.44
  4. Step 4: Simplify right side
    206,683.31x = 196,151,053,849.07
  5. Step 5: Solve for x
    x = 196,151,053,849.07/206,683.31
  6. Step 6: Final answer
    x = 949,041.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.