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Finding the Third Proportional to 92,166 and 215,823

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Solution

The third proportional to 92,166 and 215,823 is: 505,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,166 : 215,823 = 215,823 : x
  2. Step 2: Convert to fraction form
    92,166/215,823 = 215,823/x
  3. Step 3: Cross multiply
    92,166x = 215,823 × 215,823
  4. Step 4: Simplify right side
    92,166x = 46,579,567,329
  5. Step 5: Solve for x
    x = 46,579,567,329/92,166
  6. Step 6: Final answer
    x = 505,387.75

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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.