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Finding the Third Proportional to 88,256 and 192,064

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Solution

The third proportional to 88,256 and 192,064 is: 417,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,256 : 192,064 = 192,064 : x
  2. Step 2: Convert to fraction form
    88,256/192,064 = 192,064/x
  3. Step 3: Cross multiply
    88,256x = 192,064 × 192,064
  4. Step 4: Simplify right side
    88,256x = 36,888,580,096
  5. Step 5: Solve for x
    x = 36,888,580,096/88,256
  6. Step 6: Final answer
    x = 417,972.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.