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Finding the Third Proportional to 151,852 and 323,252

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Solution

The third proportional to 151,852 and 323,252 is: 688,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,852 : 323,252 = 323,252 : x
  2. Step 2: Convert to fraction form
    151,852/323,252 = 323,252/x
  3. Step 3: Cross multiply
    151,852x = 323,252 × 323,252
  4. Step 4: Simplify right side
    151,852x = 104,491,855,504
  5. Step 5: Solve for x
    x = 104,491,855,504/151,852
  6. Step 6: Final answer
    x = 688,116.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.