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Finding the Third Proportional to 181,635.75 and 494,127

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Solution

The third proportional to 181,635.75 and 494,127 is: 1,344,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,635.75 : 494,127 = 494,127 : x
  2. Step 2: Convert to fraction form
    181,635.75/494,127 = 494,127/x
  3. Step 3: Cross multiply
    181,635.75x = 494,127 × 494,127
  4. Step 4: Simplify right side
    181,635.75x = 244,161,492,129
  5. Step 5: Solve for x
    x = 244,161,492,129/181,635.75
  6. Step 6: Final answer
    x = 1,344,236.98

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.