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Finding the Third Proportional to 179,404 and 377,396

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Solution

The third proportional to 179,404 and 377,396 is: 793,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,404 : 377,396 = 377,396 : x
  2. Step 2: Convert to fraction form
    179,404/377,396 = 377,396/x
  3. Step 3: Cross multiply
    179,404x = 377,396 × 377,396
  4. Step 4: Simplify right side
    179,404x = 142,427,740,816
  5. Step 5: Solve for x
    x = 142,427,740,816/179,404
  6. Step 6: Final answer
    x = 793,893.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.