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Finding the Third Proportional to 195,846 and 264,243

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Solution

The third proportional to 195,846 and 264,243 is: 356,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,846 : 264,243 = 264,243 : x
  2. Step 2: Convert to fraction form
    195,846/264,243 = 264,243/x
  3. Step 3: Cross multiply
    195,846x = 264,243 × 264,243
  4. Step 4: Simplify right side
    195,846x = 69,824,363,049
  5. Step 5: Solve for x
    x = 69,824,363,049/195,846
  6. Step 6: Final answer
    x = 356,526.88

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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.