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Finding the Third Proportional to 176,110 and 383,648

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Solution

The third proportional to 176,110 and 383,648 is: 835,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,110 : 383,648 = 383,648 : x
  2. Step 2: Convert to fraction form
    176,110/383,648 = 383,648/x
  3. Step 3: Cross multiply
    176,110x = 383,648 × 383,648
  4. Step 4: Simplify right side
    176,110x = 147,185,787,904
  5. Step 5: Solve for x
    x = 147,185,787,904/176,110
  6. Step 6: Final answer
    x = 835,760.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.