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Finding the Third Proportional to 203,182 and 467,291.50

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Solution

The third proportional to 203,182 and 467,291.50 is: 1,074,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,182 : 467,291.50 = 467,291.50 : x
  2. Step 2: Convert to fraction form
    203,182/467,291.50 = 467,291.50/x
  3. Step 3: Cross multiply
    203,182x = 467,291.50 × 467,291.50
  4. Step 4: Simplify right side
    203,182x = 218,361,345,972.25
  5. Step 5: Solve for x
    x = 218,361,345,972.25/203,182
  6. Step 6: Final answer
    x = 1,074,708.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.