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Finding the Third Proportional to 272,414.25 and 373,938.75

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Solution

The third proportional to 272,414.25 and 373,938.75 is: 513,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,414.25 : 373,938.75 = 373,938.75 : x
  2. Step 2: Convert to fraction form
    272,414.25/373,938.75 = 373,938.75/x
  3. Step 3: Cross multiply
    272,414.25x = 373,938.75 × 373,938.75
  4. Step 4: Simplify right side
    272,414.25x = 139,830,188,751.56
  5. Step 5: Solve for x
    x = 139,830,188,751.56/272,414.25
  6. Step 6: Final answer
    x = 513,299.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.