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Finding the Third Proportional to 144,994.75 and 318,356.75

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Solution

The third proportional to 144,994.75 and 318,356.75 is: 698,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,994.75 : 318,356.75 = 318,356.75 : x
  2. Step 2: Convert to fraction form
    144,994.75/318,356.75 = 318,356.75/x
  3. Step 3: Cross multiply
    144,994.75x = 318,356.75 × 318,356.75
  4. Step 4: Simplify right side
    144,994.75x = 101,351,020,270.56
  5. Step 5: Solve for x
    x = 101,351,020,270.56/144,994.75
  6. Step 6: Final answer
    x = 698,997.86

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