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Finding the Third Proportional to 158,929 and 336,812

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Solution

The third proportional to 158,929 and 336,812 is: 713,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,929 : 336,812 = 336,812 : x
  2. Step 2: Convert to fraction form
    158,929/336,812 = 336,812/x
  3. Step 3: Cross multiply
    158,929x = 336,812 × 336,812
  4. Step 4: Simplify right side
    158,929x = 113,442,323,344
  5. Step 5: Solve for x
    x = 113,442,323,344/158,929
  6. Step 6: Final answer
    x = 713,792.47

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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.