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Finding the Third Proportional to 303,203.25 and 505,298.25

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Solution

The third proportional to 303,203.25 and 505,298.25 is: 842,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,203.25 : 505,298.25 = 505,298.25 : x
  2. Step 2: Convert to fraction form
    303,203.25/505,298.25 = 505,298.25/x
  3. Step 3: Cross multiply
    303,203.25x = 505,298.25 × 505,298.25
  4. Step 4: Simplify right side
    303,203.25x = 255,326,321,453.06
  5. Step 5: Solve for x
    x = 255,326,321,453.06/303,203.25
  6. Step 6: Final answer
    x = 842,096.26

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.