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Finding the Third Proportional to 92,170 and 215,833

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Solution

The third proportional to 92,170 and 215,833 is: 505,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,170 : 215,833 = 215,833 : x
  2. Step 2: Convert to fraction form
    92,170/215,833 = 215,833/x
  3. Step 3: Cross multiply
    92,170x = 215,833 × 215,833
  4. Step 4: Simplify right side
    92,170x = 46,583,883,889
  5. Step 5: Solve for x
    x = 46,583,883,889/92,170
  6. Step 6: Final answer
    x = 505,412.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.