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Finding the Third Proportional to 165,034 and 360,980

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Solution

The third proportional to 165,034 and 360,980 is: 789,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,034 : 360,980 = 360,980 : x
  2. Step 2: Convert to fraction form
    165,034/360,980 = 360,980/x
  3. Step 3: Cross multiply
    165,034x = 360,980 × 360,980
  4. Step 4: Simplify right side
    165,034x = 130,306,560,400
  5. Step 5: Solve for x
    x = 130,306,560,400/165,034
  6. Step 6: Final answer
    x = 789,574.03

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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.