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Finding the Third Proportional to 158,982 and 336,918

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Solution

The third proportional to 158,982 and 336,918 is: 714,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,982 : 336,918 = 336,918 : x
  2. Step 2: Convert to fraction form
    158,982/336,918 = 336,918/x
  3. Step 3: Cross multiply
    158,982x = 336,918 × 336,918
  4. Step 4: Simplify right side
    158,982x = 113,513,738,724
  5. Step 5: Solve for x
    x = 113,513,738,724/158,982
  6. Step 6: Final answer
    x = 714,003.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.