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Finding the Third Proportional to 102,003 and 223,303

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Solution

The third proportional to 102,003 and 223,303 is: 488,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003 : 223,303 = 223,303 : x
  2. Step 2: Convert to fraction form
    102,003/223,303 = 223,303/x
  3. Step 3: Cross multiply
    102,003x = 223,303 × 223,303
  4. Step 4: Simplify right side
    102,003x = 49,864,229,809
  5. Step 5: Solve for x
    x = 49,864,229,809/102,003
  6. Step 6: Final answer
    x = 488,850.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.