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Finding the Third Proportional to 181,166.63 and 393,548.63

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Solution

The third proportional to 181,166.63 and 393,548.63 is: 854,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,166.63 : 393,548.63 = 393,548.63 : x
  2. Step 2: Convert to fraction form
    181,166.63/393,548.63 = 393,548.63/x
  3. Step 3: Cross multiply
    181,166.63x = 393,548.63 × 393,548.63
  4. Step 4: Simplify right side
    181,166.63x = 154,880,520,239.39
  5. Step 5: Solve for x
    x = 154,880,520,239.39/181,166.63
  6. Step 6: Final answer
    x = 854,906.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.