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Finding the Third Proportional to 194,766.75 and 304,452

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Solution

The third proportional to 194,766.75 and 304,452 is: 475,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,766.75 : 304,452 = 304,452 : x
  2. Step 2: Convert to fraction form
    194,766.75/304,452 = 304,452/x
  3. Step 3: Cross multiply
    194,766.75x = 304,452 × 304,452
  4. Step 4: Simplify right side
    194,766.75x = 92,691,020,304
  5. Step 5: Solve for x
    x = 92,691,020,304/194,766.75
  6. Step 6: Final answer
    x = 475,907.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.