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Finding the Third Proportional to 199,271 and 431,104

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Solution

The third proportional to 199,271 and 431,104 is: 932,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,271 : 431,104 = 431,104 : x
  2. Step 2: Convert to fraction form
    199,271/431,104 = 431,104/x
  3. Step 3: Cross multiply
    199,271x = 431,104 × 431,104
  4. Step 4: Simplify right side
    199,271x = 185,850,658,816
  5. Step 5: Solve for x
    x = 185,850,658,816/199,271
  6. Step 6: Final answer
    x = 932,652.81

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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.