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Finding the Third Proportional to 214,164 and 445,176

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Solution

The third proportional to 214,164 and 445,176 is: 925,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,164 : 445,176 = 445,176 : x
  2. Step 2: Convert to fraction form
    214,164/445,176 = 445,176/x
  3. Step 3: Cross multiply
    214,164x = 445,176 × 445,176
  4. Step 4: Simplify right side
    214,164x = 198,181,670,976
  5. Step 5: Solve for x
    x = 198,181,670,976/214,164
  6. Step 6: Final answer
    x = 925,373.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.