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Finding the Third Proportional to 146,884 and 302,462

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Solution

The third proportional to 146,884 and 302,462 is: 622,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,884 : 302,462 = 302,462 : x
  2. Step 2: Convert to fraction form
    146,884/302,462 = 302,462/x
  3. Step 3: Cross multiply
    146,884x = 302,462 × 302,462
  4. Step 4: Simplify right side
    146,884x = 91,483,261,444
  5. Step 5: Solve for x
    x = 91,483,261,444/146,884
  6. Step 6: Final answer
    x = 622,826.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.