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Finding the Third Proportional to 158,916 and 330,900

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Solution

The third proportional to 158,916 and 330,900 is: 689,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,916 : 330,900 = 330,900 : x
  2. Step 2: Convert to fraction form
    158,916/330,900 = 330,900/x
  3. Step 3: Cross multiply
    158,916x = 330,900 × 330,900
  4. Step 4: Simplify right side
    158,916x = 109,494,810,000
  5. Step 5: Solve for x
    x = 109,494,810,000/158,916
  6. Step 6: Final answer
    x = 689,010.61

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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.