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Finding the Third Proportional to 195,957 and 264,771

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Solution

The third proportional to 195,957 and 264,771 is: 357,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,957 : 264,771 = 264,771 : x
  2. Step 2: Convert to fraction form
    195,957/264,771 = 264,771/x
  3. Step 3: Cross multiply
    195,957x = 264,771 × 264,771
  4. Step 4: Simplify right side
    195,957x = 70,103,682,441
  5. Step 5: Solve for x
    x = 70,103,682,441/195,957
  6. Step 6: Final answer
    x = 357,750.34

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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.