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Finding the Third Proportional to 181,873.50 and 395,223

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Solution

The third proportional to 181,873.50 and 395,223 is: 858,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,873.50 : 395,223 = 395,223 : x
  2. Step 2: Convert to fraction form
    181,873.50/395,223 = 395,223/x
  3. Step 3: Cross multiply
    181,873.50x = 395,223 × 395,223
  4. Step 4: Simplify right side
    181,873.50x = 156,201,219,729
  5. Step 5: Solve for x
    x = 156,201,219,729/181,873.50
  6. Step 6: Final answer
    x = 858,845.40

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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.