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Finding the Third Proportional to 194,422 and 304,331

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Solution

The third proportional to 194,422 and 304,331 is: 476,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,422 : 304,331 = 304,331 : x
  2. Step 2: Convert to fraction form
    194,422/304,331 = 304,331/x
  3. Step 3: Cross multiply
    194,422x = 304,331 × 304,331
  4. Step 4: Simplify right side
    194,422x = 92,617,357,561
  5. Step 5: Solve for x
    x = 92,617,357,561/194,422
  6. Step 6: Final answer
    x = 476,372.83

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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.