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Finding the Third Proportional to 85,698 and 184,552

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Solution

The third proportional to 85,698 and 184,552 is: 397,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,698 : 184,552 = 184,552 : x
  2. Step 2: Convert to fraction form
    85,698/184,552 = 184,552/x
  3. Step 3: Cross multiply
    85,698x = 184,552 × 184,552
  4. Step 4: Simplify right side
    85,698x = 34,059,440,704
  5. Step 5: Solve for x
    x = 34,059,440,704/85,698
  6. Step 6: Final answer
    x = 397,435.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.