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Finding the Third Proportional to 140,469 and 300,621

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Solution

The third proportional to 140,469 and 300,621 is: 643,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,469 : 300,621 = 300,621 : x
  2. Step 2: Convert to fraction form
    140,469/300,621 = 300,621/x
  3. Step 3: Cross multiply
    140,469x = 300,621 × 300,621
  4. Step 4: Simplify right side
    140,469x = 90,372,985,641
  5. Step 5: Solve for x
    x = 90,372,985,641/140,469
  6. Step 6: Final answer
    x = 643,366.05

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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.