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Finding the Third Proportional to 214,074.75 and 333,369.75

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Solution

The third proportional to 214,074.75 and 333,369.75 is: 519,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,074.75 : 333,369.75 = 333,369.75 : x
  2. Step 2: Convert to fraction form
    214,074.75/333,369.75 = 333,369.75/x
  3. Step 3: Cross multiply
    214,074.75x = 333,369.75 × 333,369.75
  4. Step 4: Simplify right side
    214,074.75x = 111,135,390,215.06
  5. Step 5: Solve for x
    x = 111,135,390,215.06/214,074.75
  6. Step 6: Final answer
    x = 519,142.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.