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Finding the Third Proportional to 92,285 and 218,317.50

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Solution

The third proportional to 92,285 and 218,317.50 is: 516,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,285 : 218,317.50 = 218,317.50 : x
  2. Step 2: Convert to fraction form
    92,285/218,317.50 = 218,317.50/x
  3. Step 3: Cross multiply
    92,285x = 218,317.50 × 218,317.50
  4. Step 4: Simplify right side
    92,285x = 47,662,530,806.25
  5. Step 5: Solve for x
    x = 47,662,530,806.25/92,285
  6. Step 6: Final answer
    x = 516,471.05

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.