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Finding the Third Proportional to 140,556 and 304,626

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Solution

The third proportional to 140,556 and 304,626 is: 660,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,556 : 304,626 = 304,626 : x
  2. Step 2: Convert to fraction form
    140,556/304,626 = 304,626/x
  3. Step 3: Cross multiply
    140,556x = 304,626 × 304,626
  4. Step 4: Simplify right side
    140,556x = 92,796,999,876
  5. Step 5: Solve for x
    x = 92,796,999,876/140,556
  6. Step 6: Final answer
    x = 660,213.72

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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.