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Finding the Third Proportional to 195,832.13 and 264,219.75

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Solution

The third proportional to 195,832.13 and 264,219.75 is: 356,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,832.13 : 264,219.75 = 264,219.75 : x
  2. Step 2: Convert to fraction form
    195,832.13/264,219.75 = 264,219.75/x
  3. Step 3: Cross multiply
    195,832.13x = 264,219.75 × 264,219.75
  4. Step 4: Simplify right side
    195,832.13x = 69,812,076,290.06
  5. Step 5: Solve for x
    x = 69,812,076,290.06/195,832.13
  6. Step 6: Final answer
    x = 356,489.40

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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.