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Finding the Third Proportional to 165,028 and 360,968

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Solution

The third proportional to 165,028 and 360,968 is: 789,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,028 : 360,968 = 360,968 : x
  2. Step 2: Convert to fraction form
    165,028/360,968 = 360,968/x
  3. Step 3: Cross multiply
    165,028x = 360,968 × 360,968
  4. Step 4: Simplify right side
    165,028x = 130,297,897,024
  5. Step 5: Solve for x
    x = 130,297,897,024/165,028
  6. Step 6: Final answer
    x = 789,550.24

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