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Finding the Third Proportional to 175,989.94 and 263,990.81

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Solution

The third proportional to 175,989.94 and 263,990.81 is: 395,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,989.94 : 263,990.81 = 263,990.81 : x
  2. Step 2: Convert to fraction form
    175,989.94/263,990.81 = 263,990.81/x
  3. Step 3: Cross multiply
    175,989.94x = 263,990.81 × 263,990.81
  4. Step 4: Simplify right side
    175,989.94x = 69,691,149,084.41
  5. Step 5: Solve for x
    x = 69,691,149,084.41/175,989.94
  6. Step 6: Final answer
    x = 395,995.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.