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Finding the Third Proportional to 140,212 and 304,084

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Solution

The third proportional to 140,212 and 304,084 is: 659,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,212 : 304,084 = 304,084 : x
  2. Step 2: Convert to fraction form
    140,212/304,084 = 304,084/x
  3. Step 3: Cross multiply
    140,212x = 304,084 × 304,084
  4. Step 4: Simplify right side
    140,212x = 92,467,079,056
  5. Step 5: Solve for x
    x = 92,467,079,056/140,212
  6. Step 6: Final answer
    x = 659,480.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.