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Finding the Third Proportional to 144,994.25 and 318,355.75

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Solution

The third proportional to 144,994.25 and 318,355.75 is: 698,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,994.25 : 318,355.75 = 318,355.75 : x
  2. Step 2: Convert to fraction form
    144,994.25/318,355.75 = 318,355.75/x
  3. Step 3: Cross multiply
    144,994.25x = 318,355.75 × 318,355.75
  4. Step 4: Simplify right side
    144,994.25x = 101,350,383,558.06
  5. Step 5: Solve for x
    x = 101,350,383,558.06/144,994.25
  6. Step 6: Final answer
    x = 698,995.88

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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.