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Finding the Third Proportional to 214,933.50 and 467,194.50

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Solution

The third proportional to 214,933.50 and 467,194.50 is: 1,015,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,933.50 : 467,194.50 = 467,194.50 : x
  2. Step 2: Convert to fraction form
    214,933.50/467,194.50 = 467,194.50/x
  3. Step 3: Cross multiply
    214,933.50x = 467,194.50 × 467,194.50
  4. Step 4: Simplify right side
    214,933.50x = 218,270,700,830.25
  5. Step 5: Solve for x
    x = 218,270,700,830.25/214,933.50
  6. Step 6: Final answer
    x = 1,015,526.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.