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Finding the Third Proportional to 138,933 and 211,396.50

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Solution

The third proportional to 138,933 and 211,396.50 is: 321,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,933 : 211,396.50 = 211,396.50 : x
  2. Step 2: Convert to fraction form
    138,933/211,396.50 = 211,396.50/x
  3. Step 3: Cross multiply
    138,933x = 211,396.50 × 211,396.50
  4. Step 4: Simplify right side
    138,933x = 44,688,480,212.25
  5. Step 5: Solve for x
    x = 44,688,480,212.25/138,933
  6. Step 6: Final answer
    x = 321,654.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.