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Finding the Third Proportional to 194,210 and 305,170

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Solution

The third proportional to 194,210 and 305,170 is: 479,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,210 : 305,170 = 305,170 : x
  2. Step 2: Convert to fraction form
    194,210/305,170 = 305,170/x
  3. Step 3: Cross multiply
    194,210x = 305,170 × 305,170
  4. Step 4: Simplify right side
    194,210x = 93,128,728,900
  5. Step 5: Solve for x
    x = 93,128,728,900/194,210
  6. Step 6: Final answer
    x = 479,525.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.