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Finding the Third Proportional to 194,400 and 304,296

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Solution

The third proportional to 194,400 and 304,296 is: 476,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,400 : 304,296 = 304,296 : x
  2. Step 2: Convert to fraction form
    194,400/304,296 = 304,296/x
  3. Step 3: Cross multiply
    194,400x = 304,296 × 304,296
  4. Step 4: Simplify right side
    194,400x = 92,596,055,616
  5. Step 5: Solve for x
    x = 92,596,055,616/194,400
  6. Step 6: Final answer
    x = 476,317.16

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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.