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Finding the Third Proportional to 158,177 and 340,546

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Solution

The third proportional to 158,177 and 340,546 is: 733,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,177 : 340,546 = 340,546 : x
  2. Step 2: Convert to fraction form
    158,177/340,546 = 340,546/x
  3. Step 3: Cross multiply
    158,177x = 340,546 × 340,546
  4. Step 4: Simplify right side
    158,177x = 115,971,578,116
  5. Step 5: Solve for x
    x = 115,971,578,116/158,177
  6. Step 6: Final answer
    x = 733,175.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.