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Finding the Third Proportional to 165,032 and 360,976

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Solution

The third proportional to 165,032 and 360,976 is: 789,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,032 : 360,976 = 360,976 : x
  2. Step 2: Convert to fraction form
    165,032/360,976 = 360,976/x
  3. Step 3: Cross multiply
    165,032x = 360,976 × 360,976
  4. Step 4: Simplify right side
    165,032x = 130,303,672,576
  5. Step 5: Solve for x
    x = 130,303,672,576/165,032
  6. Step 6: Final answer
    x = 789,566.10

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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.