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Finding the Third Proportional to 203,742.25 and 442,510.75

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Solution

The third proportional to 203,742.25 and 442,510.75 is: 961,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,742.25 : 442,510.75 = 442,510.75 : x
  2. Step 2: Convert to fraction form
    203,742.25/442,510.75 = 442,510.75/x
  3. Step 3: Cross multiply
    203,742.25x = 442,510.75 × 442,510.75
  4. Step 4: Simplify right side
    203,742.25x = 195,815,763,865.56
  5. Step 5: Solve for x
    x = 195,815,763,865.56/203,742.25
  6. Step 6: Final answer
    x = 961,095.52

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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.