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Finding the Third Proportional to 170,883 and 367,062

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Solution

The third proportional to 170,883 and 367,062 is: 788,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,883 : 367,062 = 367,062 : x
  2. Step 2: Convert to fraction form
    170,883/367,062 = 367,062/x
  3. Step 3: Cross multiply
    170,883x = 367,062 × 367,062
  4. Step 4: Simplify right side
    170,883x = 134,734,511,844
  5. Step 5: Solve for x
    x = 134,734,511,844/170,883
  6. Step 6: Final answer
    x = 788,460.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.