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Finding the Third Proportional to 104,850 and 226,308

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Solution

The third proportional to 104,850 and 226,308 is: 488,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,850 : 226,308 = 226,308 : x
  2. Step 2: Convert to fraction form
    104,850/226,308 = 226,308/x
  3. Step 3: Cross multiply
    104,850x = 226,308 × 226,308
  4. Step 4: Simplify right side
    104,850x = 51,215,310,864
  5. Step 5: Solve for x
    x = 51,215,310,864/104,850
  6. Step 6: Final answer
    x = 488,462.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.