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Finding the Third Proportional to 158,941 and 330,814

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Solution

The third proportional to 158,941 and 330,814 is: 688,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,941 : 330,814 = 330,814 : x
  2. Step 2: Convert to fraction form
    158,941/330,814 = 330,814/x
  3. Step 3: Cross multiply
    158,941x = 330,814 × 330,814
  4. Step 4: Simplify right side
    158,941x = 109,437,902,596
  5. Step 5: Solve for x
    x = 109,437,902,596/158,941
  6. Step 6: Final answer
    x = 688,544.19

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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.