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Finding the Third Proportional to 104,163 and 224,148

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Solution

The third proportional to 104,163 and 224,148 is: 482,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,163 : 224,148 = 224,148 : x
  2. Step 2: Convert to fraction form
    104,163/224,148 = 224,148/x
  3. Step 3: Cross multiply
    104,163x = 224,148 × 224,148
  4. Step 4: Simplify right side
    104,163x = 50,242,325,904
  5. Step 5: Solve for x
    x = 50,242,325,904/104,163
  6. Step 6: Final answer
    x = 482,343.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.