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Finding the Third Proportional to 202,303 and 303,973

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Solution

The third proportional to 202,303 and 303,973 is: 456,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,303 : 303,973 = 303,973 : x
  2. Step 2: Convert to fraction form
    202,303/303,973 = 303,973/x
  3. Step 3: Cross multiply
    202,303x = 303,973 × 303,973
  4. Step 4: Simplify right side
    202,303x = 92,399,584,729
  5. Step 5: Solve for x
    x = 92,399,584,729/202,303
  6. Step 6: Final answer
    x = 456,738.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.