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Finding the Third Proportional to 197,144 and 304,979

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Solution

The third proportional to 197,144 and 304,979 is: 471,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,144 : 304,979 = 304,979 : x
  2. Step 2: Convert to fraction form
    197,144/304,979 = 304,979/x
  3. Step 3: Cross multiply
    197,144x = 304,979 × 304,979
  4. Step 4: Simplify right side
    197,144x = 93,012,190,441
  5. Step 5: Solve for x
    x = 93,012,190,441/197,144
  6. Step 6: Final answer
    x = 471,798.23

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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.