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Finding the Third Proportional to 168,057 and 367,580.25

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Solution

The third proportional to 168,057 and 367,580.25 is: 803,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,057 : 367,580.25 = 367,580.25 : x
  2. Step 2: Convert to fraction form
    168,057/367,580.25 = 367,580.25/x
  3. Step 3: Cross multiply
    168,057x = 367,580.25 × 367,580.25
  4. Step 4: Simplify right side
    168,057x = 135,115,240,190.06
  5. Step 5: Solve for x
    x = 135,115,240,190.06/168,057
  6. Step 6: Final answer
    x = 803,984.60

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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.