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Finding the Third Proportional to 182,718.28 and 440,189.44

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Solution

The third proportional to 182,718.28 and 440,189.44 is: 1,060,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,718.28 : 440,189.44 = 440,189.44 : x
  2. Step 2: Convert to fraction form
    182,718.28/440,189.44 = 440,189.44/x
  3. Step 3: Cross multiply
    182,718.28x = 440,189.44 × 440,189.44
  4. Step 4: Simplify right side
    182,718.28x = 193,766,740,886.57
  5. Step 5: Solve for x
    x = 193,766,740,886.57/182,718.28
  6. Step 6: Final answer
    x = 1,060,467.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.