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Finding the Third Proportional to 111,223.13 and 262,305.84

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Solution

The third proportional to 111,223.13 and 262,305.84 is: 618,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,223.13 : 262,305.84 = 262,305.84 : x
  2. Step 2: Convert to fraction form
    111,223.13/262,305.84 = 262,305.84/x
  3. Step 3: Cross multiply
    111,223.13x = 262,305.84 × 262,305.84
  4. Step 4: Simplify right side
    111,223.13x = 68,804,355,665.40
  5. Step 5: Solve for x
    x = 68,804,355,665.40/111,223.13
  6. Step 6: Final answer
    x = 618,615.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.