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Finding the Third Proportional to 214,063 and 333,350

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Solution

The third proportional to 214,063 and 333,350 is: 519,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,063 : 333,350 = 333,350 : x
  2. Step 2: Convert to fraction form
    214,063/333,350 = 333,350/x
  3. Step 3: Cross multiply
    214,063x = 333,350 × 333,350
  4. Step 4: Simplify right side
    214,063x = 111,122,222,500
  5. Step 5: Solve for x
    x = 111,122,222,500/214,063
  6. Step 6: Final answer
    x = 519,109.90

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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.