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Finding the Third Proportional to 84,516 and 182,408

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Solution

The third proportional to 84,516 and 182,408 is: 393,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,516 : 182,408 = 182,408 : x
  2. Step 2: Convert to fraction form
    84,516/182,408 = 182,408/x
  3. Step 3: Cross multiply
    84,516x = 182,408 × 182,408
  4. Step 4: Simplify right side
    84,516x = 33,272,678,464
  5. Step 5: Solve for x
    x = 33,272,678,464/84,516
  6. Step 6: Final answer
    x = 393,684.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.