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Finding the Third Proportional to 189,302 and 293,067

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Solution

The third proportional to 189,302 and 293,067 is: 453,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,302 : 293,067 = 293,067 : x
  2. Step 2: Convert to fraction form
    189,302/293,067 = 293,067/x
  3. Step 3: Cross multiply
    189,302x = 293,067 × 293,067
  4. Step 4: Simplify right side
    189,302x = 85,888,266,489
  5. Step 5: Solve for x
    x = 85,888,266,489/189,302
  6. Step 6: Final answer
    x = 453,710.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.