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Finding the Third Proportional to 194,412 and 304,578

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Solution

The third proportional to 194,412 and 304,578 is: 477,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,412 : 304,578 = 304,578 : x
  2. Step 2: Convert to fraction form
    194,412/304,578 = 304,578/x
  3. Step 3: Cross multiply
    194,412x = 304,578 × 304,578
  4. Step 4: Simplify right side
    194,412x = 92,767,758,084
  5. Step 5: Solve for x
    x = 92,767,758,084/194,412
  6. Step 6: Final answer
    x = 477,170.95

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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.