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Finding the Third Proportional to 182,903 and 274,841

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Solution

The third proportional to 182,903 and 274,841 is: 412,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,903 : 274,841 = 274,841 : x
  2. Step 2: Convert to fraction form
    182,903/274,841 = 274,841/x
  3. Step 3: Cross multiply
    182,903x = 274,841 × 274,841
  4. Step 4: Simplify right side
    182,903x = 75,537,575,281
  5. Step 5: Solve for x
    x = 75,537,575,281/182,903
  6. Step 6: Final answer
    x = 412,992.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.