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Finding the Third Proportional to 104,013 and 228,313

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Solution

The third proportional to 104,013 and 228,313 is: 501,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,013 : 228,313 = 228,313 : x
  2. Step 2: Convert to fraction form
    104,013/228,313 = 228,313/x
  3. Step 3: Cross multiply
    104,013x = 228,313 × 228,313
  4. Step 4: Simplify right side
    104,013x = 52,126,825,969
  5. Step 5: Solve for x
    x = 52,126,825,969/104,013
  6. Step 6: Final answer
    x = 501,156.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.