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Finding the Third Proportional to 274,144.50 and 430,150.50

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Solution

The third proportional to 274,144.50 and 430,150.50 is: 674,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,144.50 : 430,150.50 = 430,150.50 : x
  2. Step 2: Convert to fraction form
    274,144.50/430,150.50 = 430,150.50/x
  3. Step 3: Cross multiply
    274,144.50x = 430,150.50 × 430,150.50
  4. Step 4: Simplify right side
    274,144.50x = 185,029,452,650.25
  5. Step 5: Solve for x
    x = 185,029,452,650.25/274,144.50
  6. Step 6: Final answer
    x = 674,934.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.