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Finding the Third Proportional to 197,142 and 304,976

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Solution

The third proportional to 197,142 and 304,976 is: 471,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,142 : 304,976 = 304,976 : x
  2. Step 2: Convert to fraction form
    197,142/304,976 = 304,976/x
  3. Step 3: Cross multiply
    197,142x = 304,976 × 304,976
  4. Step 4: Simplify right side
    197,142x = 93,010,360,576
  5. Step 5: Solve for x
    x = 93,010,360,576/197,142
  6. Step 6: Final answer
    x = 471,793.74

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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.