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Finding the Third Proportional to 104,855 and 228,142

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Solution

The third proportional to 104,855 and 228,142 is: 496,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,855 : 228,142 = 228,142 : x
  2. Step 2: Convert to fraction form
    104,855/228,142 = 228,142/x
  3. Step 3: Cross multiply
    104,855x = 228,142 × 228,142
  4. Step 4: Simplify right side
    104,855x = 52,048,772,164
  5. Step 5: Solve for x
    x = 52,048,772,164/104,855
  6. Step 6: Final answer
    x = 496,388.08

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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.