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Finding the Third Proportional to 140,222 and 304,103

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Solution

The third proportional to 140,222 and 304,103 is: 659,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,222 : 304,103 = 304,103 : x
  2. Step 2: Convert to fraction form
    140,222/304,103 = 304,103/x
  3. Step 3: Cross multiply
    140,222x = 304,103 × 304,103
  4. Step 4: Simplify right side
    140,222x = 92,478,634,609
  5. Step 5: Solve for x
    x = 92,478,634,609/140,222
  6. Step 6: Final answer
    x = 659,515.87

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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.