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Finding the Third Proportional to 104,274 and 228,850

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Solution

The third proportional to 104,274 and 228,850 is: 502,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,274 : 228,850 = 228,850 : x
  2. Step 2: Convert to fraction form
    104,274/228,850 = 228,850/x
  3. Step 3: Cross multiply
    104,274x = 228,850 × 228,850
  4. Step 4: Simplify right side
    104,274x = 52,372,322,500
  5. Step 5: Solve for x
    x = 52,372,322,500/104,274
  6. Step 6: Final answer
    x = 502,256.77

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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.