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Finding the Third Proportional to 197,516 and 303,396

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Solution

The third proportional to 197,516 and 303,396 is: 466,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,516 : 303,396 = 303,396 : x
  2. Step 2: Convert to fraction form
    197,516/303,396 = 303,396/x
  3. Step 3: Cross multiply
    197,516x = 303,396 × 303,396
  4. Step 4: Simplify right side
    197,516x = 92,049,132,816
  5. Step 5: Solve for x
    x = 92,049,132,816/197,516
  6. Step 6: Final answer
    x = 466,033.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.