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Finding the Third Proportional to 203,204.25 and 301,862.25

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Solution

The third proportional to 203,204.25 and 301,862.25 is: 448,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,204.25 : 301,862.25 = 301,862.25 : x
  2. Step 2: Convert to fraction form
    203,204.25/301,862.25 = 301,862.25/x
  3. Step 3: Cross multiply
    203,204.25x = 301,862.25 × 301,862.25
  4. Step 4: Simplify right side
    203,204.25x = 91,120,817,975.06
  5. Step 5: Solve for x
    x = 91,120,817,975.06/203,204.25
  6. Step 6: Final answer
    x = 448,419.84

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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.