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Finding the Third Proportional to 110,855.25 and 243,170.25

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Solution

The third proportional to 110,855.25 and 243,170.25 is: 533,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,855.25 : 243,170.25 = 243,170.25 : x
  2. Step 2: Convert to fraction form
    110,855.25/243,170.25 = 243,170.25/x
  3. Step 3: Cross multiply
    110,855.25x = 243,170.25 × 243,170.25
  4. Step 4: Simplify right side
    110,855.25x = 59,131,770,485.06
  5. Step 5: Solve for x
    x = 59,131,770,485.06/110,855.25
  6. Step 6: Final answer
    x = 533,414.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.