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Finding the Third Proportional to 214,104 and 333,412

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Solution

The third proportional to 214,104 and 333,412 is: 519,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,104 : 333,412 = 333,412 : x
  2. Step 2: Convert to fraction form
    214,104/333,412 = 333,412/x
  3. Step 3: Cross multiply
    214,104x = 333,412 × 333,412
  4. Step 4: Simplify right side
    214,104x = 111,163,561,744
  5. Step 5: Solve for x
    x = 111,163,561,744/214,104
  6. Step 6: Final answer
    x = 519,203.57

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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.