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Finding the Third Proportional to 199,276 and 431,116

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Solution

The third proportional to 199,276 and 431,116 is: 932,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,276 : 431,116 = 431,116 : x
  2. Step 2: Convert to fraction form
    199,276/431,116 = 431,116/x
  3. Step 3: Cross multiply
    199,276x = 431,116 × 431,116
  4. Step 4: Simplify right side
    199,276x = 185,861,005,456
  5. Step 5: Solve for x
    x = 185,861,005,456/199,276
  6. Step 6: Final answer
    x = 932,681.33

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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.