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Finding the Third Proportional to 158,967 and 330,858

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Solution

The third proportional to 158,967 and 330,858 is: 688,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,967 : 330,858 = 330,858 : x
  2. Step 2: Convert to fraction form
    158,967/330,858 = 330,858/x
  3. Step 3: Cross multiply
    158,967x = 330,858 × 330,858
  4. Step 4: Simplify right side
    158,967x = 109,467,016,164
  5. Step 5: Solve for x
    x = 109,467,016,164/158,967
  6. Step 6: Final answer
    x = 688,614.72

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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.