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Finding the Third Proportional to 230,034 and 349,190

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Solution

The third proportional to 230,034 and 349,190 is: 530,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,034 : 349,190 = 349,190 : x
  2. Step 2: Convert to fraction form
    230,034/349,190 = 349,190/x
  3. Step 3: Cross multiply
    230,034x = 349,190 × 349,190
  4. Step 4: Simplify right side
    230,034x = 121,933,656,100
  5. Step 5: Solve for x
    x = 121,933,656,100/230,034
  6. Step 6: Final answer
    x = 530,067.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.