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Finding the Third Proportional to 194,132.25 and 304,591.50

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Solution

The third proportional to 194,132.25 and 304,591.50 is: 477,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,132.25 : 304,591.50 = 304,591.50 : x
  2. Step 2: Convert to fraction form
    194,132.25/304,591.50 = 304,591.50/x
  3. Step 3: Cross multiply
    194,132.25x = 304,591.50 × 304,591.50
  4. Step 4: Simplify right side
    194,132.25x = 92,775,981,872.25
  5. Step 5: Solve for x
    x = 92,775,981,872.25/194,132.25
  6. Step 6: Final answer
    x = 477,900.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.