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Finding the Third Proportional to 230,031 and 349,185

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Solution

The third proportional to 230,031 and 349,185 is: 530,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,031 : 349,185 = 349,185 : x
  2. Step 2: Convert to fraction form
    230,031/349,185 = 349,185/x
  3. Step 3: Cross multiply
    230,031x = 349,185 × 349,185
  4. Step 4: Simplify right side
    230,031x = 121,930,164,225
  5. Step 5: Solve for x
    x = 121,930,164,225/230,031
  6. Step 6: Final answer
    x = 530,059.71

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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.