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Finding the Third Proportional to 176,053 and 263,404

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Solution

The third proportional to 176,053 and 263,404 is: 394,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,053 : 263,404 = 263,404 : x
  2. Step 2: Convert to fraction form
    176,053/263,404 = 263,404/x
  3. Step 3: Cross multiply
    176,053x = 263,404 × 263,404
  4. Step 4: Simplify right side
    176,053x = 69,381,667,216
  5. Step 5: Solve for x
    x = 69,381,667,216/176,053
  6. Step 6: Final answer
    x = 394,095.34

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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.