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Finding the Third Proportional to 206,358.19 and 271,359.56

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Solution

The third proportional to 206,358.19 and 271,359.56 is: 356,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,358.19 : 271,359.56 = 271,359.56 : x
  2. Step 2: Convert to fraction form
    206,358.19/271,359.56 = 271,359.56/x
  3. Step 3: Cross multiply
    206,358.19x = 271,359.56 × 271,359.56
  4. Step 4: Simplify right side
    206,358.19x = 73,636,012,160.19
  5. Step 5: Solve for x
    x = 73,636,012,160.19/206,358.19
  6. Step 6: Final answer
    x = 356,835.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.