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Finding the Third Proportional to 194,797.13 and 304,498.13

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Solution

The third proportional to 194,797.13 and 304,498.13 is: 475,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,797.13 : 304,498.13 = 304,498.13 : x
  2. Step 2: Convert to fraction form
    194,797.13/304,498.13 = 304,498.13/x
  3. Step 3: Cross multiply
    194,797.13x = 304,498.13 × 304,498.13
  4. Step 4: Simplify right side
    194,797.13x = 92,719,108,128.52
  5. Step 5: Solve for x
    x = 92,719,108,128.52/194,797.13
  6. Step 6: Final answer
    x = 475,977.81

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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.