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Finding the Third Proportional to 140,223 and 304,230.75

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Solution

The third proportional to 140,223 and 304,230.75 is: 660,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,223 : 304,230.75 = 304,230.75 : x
  2. Step 2: Convert to fraction form
    140,223/304,230.75 = 304,230.75/x
  3. Step 3: Cross multiply
    140,223x = 304,230.75 × 304,230.75
  4. Step 4: Simplify right side
    140,223x = 92,556,349,245.56
  5. Step 5: Solve for x
    x = 92,556,349,245.56/140,223
  6. Step 6: Final answer
    x = 660,065.39

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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.