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Finding the Third Proportional to 237,996 and 323,064

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Solution

The third proportional to 237,996 and 323,064 is: 438,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,996 : 323,064 = 323,064 : x
  2. Step 2: Convert to fraction form
    237,996/323,064 = 323,064/x
  3. Step 3: Cross multiply
    237,996x = 323,064 × 323,064
  4. Step 4: Simplify right side
    237,996x = 104,370,348,096
  5. Step 5: Solve for x
    x = 104,370,348,096/237,996
  6. Step 6: Final answer
    x = 438,538.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.