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Finding the Third Proportional to 261,022.50 and 347,064.75

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Solution

The third proportional to 261,022.50 and 347,064.75 is: 461,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,022.50 : 347,064.75 = 347,064.75 : x
  2. Step 2: Convert to fraction form
    261,022.50/347,064.75 = 347,064.75/x
  3. Step 3: Cross multiply
    261,022.50x = 347,064.75 × 347,064.75
  4. Step 4: Simplify right side
    261,022.50x = 120,453,940,692.56
  5. Step 5: Solve for x
    x = 120,453,940,692.56/261,022.50
  6. Step 6: Final answer
    x = 461,469.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.