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Finding the Third Proportional to 140,100 and 299,883

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Solution

The third proportional to 140,100 and 299,883 is: 641,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,100 : 299,883 = 299,883 : x
  2. Step 2: Convert to fraction form
    140,100/299,883 = 299,883/x
  3. Step 3: Cross multiply
    140,100x = 299,883 × 299,883
  4. Step 4: Simplify right side
    140,100x = 89,929,813,689
  5. Step 5: Solve for x
    x = 89,929,813,689/140,100
  6. Step 6: Final answer
    x = 641,897.31

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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.