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Finding the Third Proportional to 197,022 and 304,770

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Solution

The third proportional to 197,022 and 304,770 is: 471,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,022 : 304,770 = 304,770 : x
  2. Step 2: Convert to fraction form
    197,022/304,770 = 304,770/x
  3. Step 3: Cross multiply
    197,022x = 304,770 × 304,770
  4. Step 4: Simplify right side
    197,022x = 92,884,752,900
  5. Step 5: Solve for x
    x = 92,884,752,900/197,022
  6. Step 6: Final answer
    x = 471,443.56

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Why These Related Problems?

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