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Finding the Third Proportional to 237,852 and 323,973

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Solution

The third proportional to 237,852 and 323,973 is: 441,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,852 : 323,973 = 323,973 : x
  2. Step 2: Convert to fraction form
    237,852/323,973 = 323,973/x
  3. Step 3: Cross multiply
    237,852x = 323,973 × 323,973
  4. Step 4: Simplify right side
    237,852x = 104,958,504,729
  5. Step 5: Solve for x
    x = 104,958,504,729/237,852
  6. Step 6: Final answer
    x = 441,276.53

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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.