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Finding the Third Proportional to 203,493.50 and 442,006.50

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Solution

The third proportional to 203,493.50 and 442,006.50 is: 960,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,493.50 : 442,006.50 = 442,006.50 : x
  2. Step 2: Convert to fraction form
    203,493.50/442,006.50 = 442,006.50/x
  3. Step 3: Cross multiply
    203,493.50x = 442,006.50 × 442,006.50
  4. Step 4: Simplify right side
    203,493.50x = 195,369,746,042.25
  5. Step 5: Solve for x
    x = 195,369,746,042.25/203,493.50
  6. Step 6: Final answer
    x = 960,078.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.