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Finding the Third Proportional to 197,426 and 305,367

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Solution

The third proportional to 197,426 and 305,367 is: 472,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,426 : 305,367 = 305,367 : x
  2. Step 2: Convert to fraction form
    197,426/305,367 = 305,367/x
  3. Step 3: Cross multiply
    197,426x = 305,367 × 305,367
  4. Step 4: Simplify right side
    197,426x = 93,249,004,689
  5. Step 5: Solve for x
    x = 93,249,004,689/197,426
  6. Step 6: Final answer
    x = 472,323.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.