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Finding the Third Proportional to 185,244.75 and 385,026.75

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Solution

The third proportional to 185,244.75 and 385,026.75 is: 800,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,244.75 : 385,026.75 = 385,026.75 : x
  2. Step 2: Convert to fraction form
    185,244.75/385,026.75 = 385,026.75/x
  3. Step 3: Cross multiply
    185,244.75x = 385,026.75 × 385,026.75
  4. Step 4: Simplify right side
    185,244.75x = 148,245,598,215.56
  5. Step 5: Solve for x
    x = 148,245,598,215.56/185,244.75
  6. Step 6: Final answer
    x = 800,268.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.