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Finding the Third Proportional to 167,493 and 365,097

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Solution

The third proportional to 167,493 and 365,097 is: 795,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,493 : 365,097 = 365,097 : x
  2. Step 2: Convert to fraction form
    167,493/365,097 = 365,097/x
  3. Step 3: Cross multiply
    167,493x = 365,097 × 365,097
  4. Step 4: Simplify right side
    167,493x = 133,295,819,409
  5. Step 5: Solve for x
    x = 133,295,819,409/167,493
  6. Step 6: Final answer
    x = 795,829.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.