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Finding the Third Proportional to 176,063 and 263,419

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Solution

The third proportional to 176,063 and 263,419 is: 394,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,063 : 263,419 = 263,419 : x
  2. Step 2: Convert to fraction form
    176,063/263,419 = 263,419/x
  3. Step 3: Cross multiply
    176,063x = 263,419 × 263,419
  4. Step 4: Simplify right side
    176,063x = 69,389,569,561
  5. Step 5: Solve for x
    x = 69,389,569,561/176,063
  6. Step 6: Final answer
    x = 394,117.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.