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Finding the Third Proportional to 104,950.50 and 226,485

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Solution

The third proportional to 104,950.50 and 226,485 is: 488,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,950.50 : 226,485 = 226,485 : x
  2. Step 2: Convert to fraction form
    104,950.50/226,485 = 226,485/x
  3. Step 3: Cross multiply
    104,950.50x = 226,485 × 226,485
  4. Step 4: Simplify right side
    104,950.50x = 51,295,455,225
  5. Step 5: Solve for x
    x = 51,295,455,225/104,950.50
  6. Step 6: Final answer
    x = 488,758.56

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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.