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Finding the Third Proportional to 186,071 and 393,978

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Solution

The third proportional to 186,071 and 393,978 is: 834,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,071 : 393,978 = 393,978 : x
  2. Step 2: Convert to fraction form
    186,071/393,978 = 393,978/x
  3. Step 3: Cross multiply
    186,071x = 393,978 × 393,978
  4. Step 4: Simplify right side
    186,071x = 155,218,664,484
  5. Step 5: Solve for x
    x = 155,218,664,484/186,071
  6. Step 6: Final answer
    x = 834,190.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.