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Finding the Third Proportional to 194,809.25 and 263,989.88

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Solution

The third proportional to 194,809.25 and 263,989.88 is: 357,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,809.25 : 263,989.88 = 263,989.88 : x
  2. Step 2: Convert to fraction form
    194,809.25/263,989.88 = 263,989.88/x
  3. Step 3: Cross multiply
    194,809.25x = 263,989.88 × 263,989.88
  4. Step 4: Simplify right side
    194,809.25x = 69,690,654,102.52
  5. Step 5: Solve for x
    x = 69,690,654,102.52/194,809.25
  6. Step 6: Final answer
    x = 357,737.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.