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Finding the Third Proportional to 102,268 and 228,344

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Solution

The third proportional to 102,268 and 228,344 is: 509,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,268 : 228,344 = 228,344 : x
  2. Step 2: Convert to fraction form
    102,268/228,344 = 228,344/x
  3. Step 3: Cross multiply
    102,268x = 228,344 × 228,344
  4. Step 4: Simplify right side
    102,268x = 52,140,982,336
  5. Step 5: Solve for x
    x = 52,140,982,336/102,268
  6. Step 6: Final answer
    x = 509,846.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.