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Finding the Third Proportional to 140,444 and 300,570

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Solution

The third proportional to 140,444 and 300,570 is: 643,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,444 : 300,570 = 300,570 : x
  2. Step 2: Convert to fraction form
    140,444/300,570 = 300,570/x
  3. Step 3: Cross multiply
    140,444x = 300,570 × 300,570
  4. Step 4: Simplify right side
    140,444x = 90,342,324,900
  5. Step 5: Solve for x
    x = 90,342,324,900/140,444
  6. Step 6: Final answer
    x = 643,262.26

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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.