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Finding the Third Proportional to 195,843 and 264,237

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Solution

The third proportional to 195,843 and 264,237 is: 356,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,843 : 264,237 = 264,237 : x
  2. Step 2: Convert to fraction form
    195,843/264,237 = 264,237/x
  3. Step 3: Cross multiply
    195,843x = 264,237 × 264,237
  4. Step 4: Simplify right side
    195,843x = 69,821,192,169
  5. Step 5: Solve for x
    x = 69,821,192,169/195,843
  6. Step 6: Final answer
    x = 356,516.15

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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.