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Finding the Third Proportional to 168,768.56 and 360,136.13

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Solution

The third proportional to 168,768.56 and 360,136.13 is: 768,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,768.56 : 360,136.13 = 360,136.13 : x
  2. Step 2: Convert to fraction form
    168,768.56/360,136.13 = 360,136.13/x
  3. Step 3: Cross multiply
    168,768.56x = 360,136.13 × 360,136.13
  4. Step 4: Simplify right side
    168,768.56x = 129,698,028,530.02
  5. Step 5: Solve for x
    x = 129,698,028,530.02/168,768.56
  6. Step 6: Final answer
    x = 768,496.38

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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.