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Finding the Third Proportional to 237,190.50 and 510,648.75

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Solution

The third proportional to 237,190.50 and 510,648.75 is: 1,099,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,190.50 : 510,648.75 = 510,648.75 : x
  2. Step 2: Convert to fraction form
    237,190.50/510,648.75 = 510,648.75/x
  3. Step 3: Cross multiply
    237,190.50x = 510,648.75 × 510,648.75
  4. Step 4: Simplify right side
    237,190.50x = 260,762,145,876.56
  5. Step 5: Solve for x
    x = 260,762,145,876.56/237,190.50
  6. Step 6: Final answer
    x = 1,099,378.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.