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Finding the Third Proportional to 200,452 and 294,116

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Solution

The third proportional to 200,452 and 294,116 is: 431,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,452 : 294,116 = 294,116 : x
  2. Step 2: Convert to fraction form
    200,452/294,116 = 294,116/x
  3. Step 3: Cross multiply
    200,452x = 294,116 × 294,116
  4. Step 4: Simplify right side
    200,452x = 86,504,221,456
  5. Step 5: Solve for x
    x = 86,504,221,456/200,452
  6. Step 6: Final answer
    x = 431,545.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.