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Finding the Third Proportional to 181,615.92 and 395,929.27

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Solution

The third proportional to 181,615.92 and 395,929.27 is: 863,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,615.92 : 395,929.27 = 395,929.27 : x
  2. Step 2: Convert to fraction form
    181,615.92/395,929.27 = 395,929.27/x
  3. Step 3: Cross multiply
    181,615.92x = 395,929.27 × 395,929.27
  4. Step 4: Simplify right side
    181,615.92x = 156,759,983,378.35
  5. Step 5: Solve for x
    x = 156,759,983,378.35/181,615.92
  6. Step 6: Final answer
    x = 863,140.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.