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Finding the Third Proportional to 214,567 and 339,686

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Solution

The third proportional to 214,567 and 339,686 is: 537,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,567 : 339,686 = 339,686 : x
  2. Step 2: Convert to fraction form
    214,567/339,686 = 339,686/x
  3. Step 3: Cross multiply
    214,567x = 339,686 × 339,686
  4. Step 4: Simplify right side
    214,567x = 115,386,578,596
  5. Step 5: Solve for x
    x = 115,386,578,596/214,567
  6. Step 6: Final answer
    x = 537,764.79

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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.