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Finding the Third Proportional to 182,152 and 395,408

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Solution

The third proportional to 182,152 and 395,408 is: 858,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,152 : 395,408 = 395,408 : x
  2. Step 2: Convert to fraction form
    182,152/395,408 = 395,408/x
  3. Step 3: Cross multiply
    182,152x = 395,408 × 395,408
  4. Step 4: Simplify right side
    182,152x = 156,347,486,464
  5. Step 5: Solve for x
    x = 156,347,486,464/182,152
  6. Step 6: Final answer
    x = 858,335.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.