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Finding the Third Proportional to 222,013 and 335,017

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Solution

The third proportional to 222,013 and 335,017 is: 505,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,013 : 335,017 = 335,017 : x
  2. Step 2: Convert to fraction form
    222,013/335,017 = 335,017/x
  3. Step 3: Cross multiply
    222,013x = 335,017 × 335,017
  4. Step 4: Simplify right side
    222,013x = 112,236,390,289
  5. Step 5: Solve for x
    x = 112,236,390,289/222,013
  6. Step 6: Final answer
    x = 505,539.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.