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Finding the Third Proportional to 154,849 and 339,222

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Solution

The third proportional to 154,849 and 339,222 is: 743,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,849 : 339,222 = 339,222 : x
  2. Step 2: Convert to fraction form
    154,849/339,222 = 339,222/x
  3. Step 3: Cross multiply
    154,849x = 339,222 × 339,222
  4. Step 4: Simplify right side
    154,849x = 115,071,565,284
  5. Step 5: Solve for x
    x = 115,071,565,284/154,849
  6. Step 6: Final answer
    x = 743,121.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.