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Finding the Third Proportional to 216,542.25 and 333,267.75

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Solution

The third proportional to 216,542.25 and 333,267.75 is: 512,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,542.25 : 333,267.75 = 333,267.75 : x
  2. Step 2: Convert to fraction form
    216,542.25/333,267.75 = 333,267.75/x
  3. Step 3: Cross multiply
    216,542.25x = 333,267.75 × 333,267.75
  4. Step 4: Simplify right side
    216,542.25x = 111,067,393,190.06
  5. Step 5: Solve for x
    x = 111,067,393,190.06/216,542.25
  6. Step 6: Final answer
    x = 512,913.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.