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Finding the Third Proportional to 246,021.50 and 401,734

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Solution

The third proportional to 246,021.50 and 401,734 is: 656,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,021.50 : 401,734 = 401,734 : x
  2. Step 2: Convert to fraction form
    246,021.50/401,734 = 401,734/x
  3. Step 3: Cross multiply
    246,021.50x = 401,734 × 401,734
  4. Step 4: Simplify right side
    246,021.50x = 161,390,206,756
  5. Step 5: Solve for x
    x = 161,390,206,756/246,021.50
  6. Step 6: Final answer
    x = 656,000.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.