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Finding the Third Proportional to 226,064 and 332,168

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Solution

The third proportional to 226,064 and 332,168 is: 488,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,064 : 332,168 = 332,168 : x
  2. Step 2: Convert to fraction form
    226,064/332,168 = 332,168/x
  3. Step 3: Cross multiply
    226,064x = 332,168 × 332,168
  4. Step 4: Simplify right side
    226,064x = 110,335,580,224
  5. Step 5: Solve for x
    x = 110,335,580,224/226,064
  6. Step 6: Final answer
    x = 488,072.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.