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Finding the Third Proportional to 140,294 and 300,325

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Solution

The third proportional to 140,294 and 300,325 is: 642,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,294 : 300,325 = 300,325 : x
  2. Step 2: Convert to fraction form
    140,294/300,325 = 300,325/x
  3. Step 3: Cross multiply
    140,294x = 300,325 × 300,325
  4. Step 4: Simplify right side
    140,294x = 90,195,105,625
  5. Step 5: Solve for x
    x = 90,195,105,625/140,294
  6. Step 6: Final answer
    x = 642,900.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.