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Finding the Third Proportional to 236,003 and 373,884

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Solution

The third proportional to 236,003 and 373,884 is: 592,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,003 : 373,884 = 373,884 : x
  2. Step 2: Convert to fraction form
    236,003/373,884 = 373,884/x
  3. Step 3: Cross multiply
    236,003x = 373,884 × 373,884
  4. Step 4: Simplify right side
    236,003x = 139,789,245,456
  5. Step 5: Solve for x
    x = 139,789,245,456/236,003
  6. Step 6: Final answer
    x = 592,319.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.