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Finding the Third Proportional to 158,767 and 339,369

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Solution

The third proportional to 158,767 and 339,369 is: 725,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,767 : 339,369 = 339,369 : x
  2. Step 2: Convert to fraction form
    158,767/339,369 = 339,369/x
  3. Step 3: Cross multiply
    158,767x = 339,369 × 339,369
  4. Step 4: Simplify right side
    158,767x = 115,171,318,161
  5. Step 5: Solve for x
    x = 115,171,318,161/158,767
  6. Step 6: Final answer
    x = 725,410.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.