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Finding the Third Proportional to 104,214 and 228,036

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Solution

The third proportional to 104,214 and 228,036 is: 498,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,214 : 228,036 = 228,036 : x
  2. Step 2: Convert to fraction form
    104,214/228,036 = 228,036/x
  3. Step 3: Cross multiply
    104,214x = 228,036 × 228,036
  4. Step 4: Simplify right side
    104,214x = 52,000,417,296
  5. Step 5: Solve for x
    x = 52,000,417,296/104,214
  6. Step 6: Final answer
    x = 498,977.27

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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.