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Finding the Third Proportional to 149,652 and 230,012

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Solution

The third proportional to 149,652 and 230,012 is: 353,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,652 : 230,012 = 230,012 : x
  2. Step 2: Convert to fraction form
    149,652/230,012 = 230,012/x
  3. Step 3: Cross multiply
    149,652x = 230,012 × 230,012
  4. Step 4: Simplify right side
    149,652x = 52,905,520,144
  5. Step 5: Solve for x
    x = 52,905,520,144/149,652
  6. Step 6: Final answer
    x = 353,523.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.