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Finding the Third Proportional to 214,048 and 339,216

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Solution

The third proportional to 214,048 and 339,216 is: 537,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,048 : 339,216 = 339,216 : x
  2. Step 2: Convert to fraction form
    214,048/339,216 = 339,216/x
  3. Step 3: Cross multiply
    214,048x = 339,216 × 339,216
  4. Step 4: Simplify right side
    214,048x = 115,067,494,656
  5. Step 5: Solve for x
    x = 115,067,494,656/214,048
  6. Step 6: Final answer
    x = 537,577.99

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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.