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Finding the Third Proportional to 104,644 and 228,847

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Solution

The third proportional to 104,644 and 228,847 is: 500,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,644 : 228,847 = 228,847 : x
  2. Step 2: Convert to fraction form
    104,644/228,847 = 228,847/x
  3. Step 3: Cross multiply
    104,644x = 228,847 × 228,847
  4. Step 4: Simplify right side
    104,644x = 52,370,949,409
  5. Step 5: Solve for x
    x = 52,370,949,409/104,644
  6. Step 6: Final answer
    x = 500,467.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.