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Finding the Third Proportional to 104,621 and 228,196

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Solution

The third proportional to 104,621 and 228,196 is: 497,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,621 : 228,196 = 228,196 : x
  2. Step 2: Convert to fraction form
    104,621/228,196 = 228,196/x
  3. Step 3: Cross multiply
    104,621x = 228,196 × 228,196
  4. Step 4: Simplify right side
    104,621x = 52,073,414,416
  5. Step 5: Solve for x
    x = 52,073,414,416/104,621
  6. Step 6: Final answer
    x = 497,733.86

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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.