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Finding the Third Proportional to 63,445 and 150,305

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Solution

The third proportional to 63,445 and 150,305 is: 356,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,445 : 150,305 = 150,305 : x
  2. Step 2: Convert to fraction form
    63,445/150,305 = 150,305/x
  3. Step 3: Cross multiply
    63,445x = 150,305 × 150,305
  4. Step 4: Simplify right side
    63,445x = 22,591,593,025
  5. Step 5: Solve for x
    x = 22,591,593,025/63,445
  6. Step 6: Final answer
    x = 356,081.54

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.