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Finding the Third Proportional to 158,927 and 330,922

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Solution

The third proportional to 158,927 and 330,922 is: 689,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,927 : 330,922 = 330,922 : x
  2. Step 2: Convert to fraction form
    158,927/330,922 = 330,922/x
  3. Step 3: Cross multiply
    158,927x = 330,922 × 330,922
  4. Step 4: Simplify right side
    158,927x = 109,509,370,084
  5. Step 5: Solve for x
    x = 109,509,370,084/158,927
  6. Step 6: Final answer
    x = 689,054.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.