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Finding the Third Proportional to 195,840 and 264,235

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Solution

The third proportional to 195,840 and 264,235 is: 356,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,840 : 264,235 = 264,235 : x
  2. Step 2: Convert to fraction form
    195,840/264,235 = 264,235/x
  3. Step 3: Cross multiply
    195,840x = 264,235 × 264,235
  4. Step 4: Simplify right side
    195,840x = 69,820,135,225
  5. Step 5: Solve for x
    x = 69,820,135,225/195,840
  6. Step 6: Final answer
    x = 356,516.21

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Why These Related Problems?

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