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Finding the Third Proportional to 197,944 and 305,808

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Solution

The third proportional to 197,944 and 305,808 is: 472,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,944 : 305,808 = 305,808 : x
  2. Step 2: Convert to fraction form
    197,944/305,808 = 305,808/x
  3. Step 3: Cross multiply
    197,944x = 305,808 × 305,808
  4. Step 4: Simplify right side
    197,944x = 93,518,532,864
  5. Step 5: Solve for x
    x = 93,518,532,864/197,944
  6. Step 6: Final answer
    x = 472,449.44

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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.