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Finding the Third Proportional to 168,588.75 and 361,164.38

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Solution

The third proportional to 168,588.75 and 361,164.38 is: 773,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,588.75 : 361,164.38 = 361,164.38 : x
  2. Step 2: Convert to fraction form
    168,588.75/361,164.38 = 361,164.38/x
  3. Step 3: Cross multiply
    168,588.75x = 361,164.38 × 361,164.38
  4. Step 4: Simplify right side
    168,588.75x = 130,439,705,769.14
  5. Step 5: Solve for x
    x = 130,439,705,769.14/168,588.75
  6. Step 6: Final answer
    x = 773,715.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.