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Finding the Third Proportional to 178,851.38 and 388,764.75

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Solution

The third proportional to 178,851.38 and 388,764.75 is: 845,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,851.38 : 388,764.75 = 388,764.75 : x
  2. Step 2: Convert to fraction form
    178,851.38/388,764.75 = 388,764.75/x
  3. Step 3: Cross multiply
    178,851.38x = 388,764.75 × 388,764.75
  4. Step 4: Simplify right side
    178,851.38x = 151,138,030,842.56
  5. Step 5: Solve for x
    x = 151,138,030,842.56/178,851.38
  6. Step 6: Final answer
    x = 845,048.19

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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.