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Finding the Third Proportional to 137,349 and 285,225

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Solution

The third proportional to 137,349 and 285,225 is: 592,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,349 : 285,225 = 285,225 : x
  2. Step 2: Convert to fraction form
    137,349/285,225 = 285,225/x
  3. Step 3: Cross multiply
    137,349x = 285,225 × 285,225
  4. Step 4: Simplify right side
    137,349x = 81,353,300,625
  5. Step 5: Solve for x
    x = 81,353,300,625/137,349
  6. Step 6: Final answer
    x = 592,310.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.