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Finding the Third Proportional to 215,953.50 and 338,737.50

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Solution

The third proportional to 215,953.50 and 338,737.50 is: 531,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,953.50 : 338,737.50 = 338,737.50 : x
  2. Step 2: Convert to fraction form
    215,953.50/338,737.50 = 338,737.50/x
  3. Step 3: Cross multiply
    215,953.50x = 338,737.50 × 338,737.50
  4. Step 4: Simplify right side
    215,953.50x = 114,743,093,906.25
  5. Step 5: Solve for x
    x = 114,743,093,906.25/215,953.50
  6. Step 6: Final answer
    x = 531,332.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.