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Finding the Third Proportional to 199,398 and 430,104

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Solution

The third proportional to 199,398 and 430,104 is: 927,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,398 : 430,104 = 430,104 : x
  2. Step 2: Convert to fraction form
    199,398/430,104 = 430,104/x
  3. Step 3: Cross multiply
    199,398x = 430,104 × 430,104
  4. Step 4: Simplify right side
    199,398x = 184,989,450,816
  5. Step 5: Solve for x
    x = 184,989,450,816/199,398
  6. Step 6: Final answer
    x = 927,739.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.