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Finding the Third Proportional to 168,136 and 367,852

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Solution

The third proportional to 168,136 and 367,852 is: 804,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,136 : 367,852 = 367,852 : x
  2. Step 2: Convert to fraction form
    168,136/367,852 = 367,852/x
  3. Step 3: Cross multiply
    168,136x = 367,852 × 367,852
  4. Step 4: Simplify right side
    168,136x = 135,315,093,904
  5. Step 5: Solve for x
    x = 135,315,093,904/168,136
  6. Step 6: Final answer
    x = 804,795.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.