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Finding the Third Proportional to 214,611 and 339,750

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Solution

The third proportional to 214,611 and 339,750 is: 537,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,611 : 339,750 = 339,750 : x
  2. Step 2: Convert to fraction form
    214,611/339,750 = 339,750/x
  3. Step 3: Cross multiply
    214,611x = 339,750 × 339,750
  4. Step 4: Simplify right side
    214,611x = 115,430,062,500
  5. Step 5: Solve for x
    x = 115,430,062,500/214,611
  6. Step 6: Final answer
    x = 537,857.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.