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Finding the Third Proportional to 171,279 and 243,441

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Solution

The third proportional to 171,279 and 243,441 is: 346,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,279 : 243,441 = 243,441 : x
  2. Step 2: Convert to fraction form
    171,279/243,441 = 243,441/x
  3. Step 3: Cross multiply
    171,279x = 243,441 × 243,441
  4. Step 4: Simplify right side
    171,279x = 59,263,520,481
  5. Step 5: Solve for x
    x = 59,263,520,481/171,279
  6. Step 6: Final answer
    x = 346,005.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.