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Finding the Third Proportional to 161,868.38 and 378,077.63

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Solution

The third proportional to 161,868.38 and 378,077.63 is: 883,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,868.38 : 378,077.63 = 378,077.63 : x
  2. Step 2: Convert to fraction form
    161,868.38/378,077.63 = 378,077.63/x
  3. Step 3: Cross multiply
    161,868.38x = 378,077.63 × 378,077.63
  4. Step 4: Simplify right side
    161,868.38x = 142,942,690,525.64
  5. Step 5: Solve for x
    x = 142,942,690,525.64/161,868.38
  6. Step 6: Final answer
    x = 883,079.79

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.