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Finding the Third Proportional to 170,978 and 370,934

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Solution

The third proportional to 170,978 and 370,934 is: 804,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,978 : 370,934 = 370,934 : x
  2. Step 2: Convert to fraction form
    170,978/370,934 = 370,934/x
  3. Step 3: Cross multiply
    170,978x = 370,934 × 370,934
  4. Step 4: Simplify right side
    170,978x = 137,592,032,356
  5. Step 5: Solve for x
    x = 137,592,032,356/170,978
  6. Step 6: Final answer
    x = 804,735.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.