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Finding the Third Proportional to 154,966 and 339,416

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Solution

The third proportional to 154,966 and 339,416 is: 743,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,966 : 339,416 = 339,416 : x
  2. Step 2: Convert to fraction form
    154,966/339,416 = 339,416/x
  3. Step 3: Cross multiply
    154,966x = 339,416 × 339,416
  4. Step 4: Simplify right side
    154,966x = 115,203,221,056
  5. Step 5: Solve for x
    x = 115,203,221,056/154,966
  6. Step 6: Final answer
    x = 743,409.66

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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.