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Finding the Third Proportional to 195,849 and 264,247.50

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Solution

The third proportional to 195,849 and 264,247.50 is: 356,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,849 : 264,247.50 = 264,247.50 : x
  2. Step 2: Convert to fraction form
    195,849/264,247.50 = 264,247.50/x
  3. Step 3: Cross multiply
    195,849x = 264,247.50 × 264,247.50
  4. Step 4: Simplify right side
    195,849x = 69,826,741,256.25
  5. Step 5: Solve for x
    x = 69,826,741,256.25/195,849
  6. Step 6: Final answer
    x = 356,533.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.