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Finding the Third Proportional to 146,816 and 211,962

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Solution

The third proportional to 146,816 and 211,962 is: 306,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,816 : 211,962 = 211,962 : x
  2. Step 2: Convert to fraction form
    146,816/211,962 = 211,962/x
  3. Step 3: Cross multiply
    146,816x = 211,962 × 211,962
  4. Step 4: Simplify right side
    146,816x = 44,927,889,444
  5. Step 5: Solve for x
    x = 44,927,889,444/146,816
  6. Step 6: Final answer
    x = 306,014.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.