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Finding the Third Proportional to 203,256 and 301,936.50

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Solution

The third proportional to 203,256 and 301,936.50 is: 448,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,256 : 301,936.50 = 301,936.50 : x
  2. Step 2: Convert to fraction form
    203,256/301,936.50 = 301,936.50/x
  3. Step 3: Cross multiply
    203,256x = 301,936.50 × 301,936.50
  4. Step 4: Simplify right side
    203,256x = 91,165,650,032.25
  5. Step 5: Solve for x
    x = 91,165,650,032.25/203,256
  6. Step 6: Final answer
    x = 448,526.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.