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Finding the Third Proportional to 197,094 and 304,390

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Solution

The third proportional to 197,094 and 304,390 is: 470,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,094 : 304,390 = 304,390 : x
  2. Step 2: Convert to fraction form
    197,094/304,390 = 304,390/x
  3. Step 3: Cross multiply
    197,094x = 304,390 × 304,390
  4. Step 4: Simplify right side
    197,094x = 92,653,272,100
  5. Step 5: Solve for x
    x = 92,653,272,100/197,094
  6. Step 6: Final answer
    x = 470,096.87

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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.