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Finding the Third Proportional to 114,472.13 and 251,782.31

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Solution

The third proportional to 114,472.13 and 251,782.31 is: 553,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,472.13 : 251,782.31 = 251,782.31 : x
  2. Step 2: Convert to fraction form
    114,472.13/251,782.31 = 251,782.31/x
  3. Step 3: Cross multiply
    114,472.13x = 251,782.31 × 251,782.31
  4. Step 4: Simplify right side
    114,472.13x = 63,394,332,887.85
  5. Step 5: Solve for x
    x = 63,394,332,887.85/114,472.13
  6. Step 6: Final answer
    x = 553,797.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.