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Finding the Third Proportional to 197,424 and 305,364

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Solution

The third proportional to 197,424 and 305,364 is: 472,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,424 : 305,364 = 305,364 : x
  2. Step 2: Convert to fraction form
    197,424/305,364 = 305,364/x
  3. Step 3: Cross multiply
    197,424x = 305,364 × 305,364
  4. Step 4: Simplify right side
    197,424x = 93,247,172,496
  5. Step 5: Solve for x
    x = 93,247,172,496/197,424
  6. Step 6: Final answer
    x = 472,319.34

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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.