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Finding the Third Proportional to 175,424 and 384,176

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Solution

The third proportional to 175,424 and 384,176 is: 841,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,424 : 384,176 = 384,176 : x
  2. Step 2: Convert to fraction form
    175,424/384,176 = 384,176/x
  3. Step 3: Cross multiply
    175,424x = 384,176 × 384,176
  4. Step 4: Simplify right side
    175,424x = 147,591,198,976
  5. Step 5: Solve for x
    x = 147,591,198,976/175,424
  6. Step 6: Final answer
    x = 841,339.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.