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Finding the Third Proportional to 104,193 and 228,258

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Solution

The third proportional to 104,193 and 228,258 is: 500,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,193 : 228,258 = 228,258 : x
  2. Step 2: Convert to fraction form
    104,193/228,258 = 228,258/x
  3. Step 3: Cross multiply
    104,193x = 228,258 × 228,258
  4. Step 4: Simplify right side
    104,193x = 52,101,714,564
  5. Step 5: Solve for x
    x = 52,101,714,564/104,193
  6. Step 6: Final answer
    x = 500,050.05

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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.