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Finding the Third Proportional to 261,028.50 and 347,073

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Solution

The third proportional to 261,028.50 and 347,073 is: 461,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,028.50 : 347,073 = 347,073 : x
  2. Step 2: Convert to fraction form
    261,028.50/347,073 = 347,073/x
  3. Step 3: Cross multiply
    261,028.50x = 347,073 × 347,073
  4. Step 4: Simplify right side
    261,028.50x = 120,459,667,329
  5. Step 5: Solve for x
    x = 120,459,667,329/261,028.50
  6. Step 6: Final answer
    x = 461,480.90

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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.