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Finding the Third Proportional to 182,274 and 400,393.50

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Solution

The third proportional to 182,274 and 400,393.50 is: 879,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,274 : 400,393.50 = 400,393.50 : x
  2. Step 2: Convert to fraction form
    182,274/400,393.50 = 400,393.50/x
  3. Step 3: Cross multiply
    182,274x = 400,393.50 × 400,393.50
  4. Step 4: Simplify right side
    182,274x = 160,314,954,842.25
  5. Step 5: Solve for x
    x = 160,314,954,842.25/182,274
  6. Step 6: Final answer
    x = 879,527.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.