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Finding the Third Proportional to 214,448.50 and 285,899

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Solution

The third proportional to 214,448.50 and 285,899 is: 381,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,448.50 : 285,899 = 285,899 : x
  2. Step 2: Convert to fraction form
    214,448.50/285,899 = 285,899/x
  3. Step 3: Cross multiply
    214,448.50x = 285,899 × 285,899
  4. Step 4: Simplify right side
    214,448.50x = 81,738,238,201
  5. Step 5: Solve for x
    x = 81,738,238,201/214,448.50
  6. Step 6: Final answer
    x = 381,155.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.