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Finding the Third Proportional to 139,297 and 300,760

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Solution

The third proportional to 139,297 and 300,760 is: 649,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,297 : 300,760 = 300,760 : x
  2. Step 2: Convert to fraction form
    139,297/300,760 = 300,760/x
  3. Step 3: Cross multiply
    139,297x = 300,760 × 300,760
  4. Step 4: Simplify right side
    139,297x = 90,456,577,600
  5. Step 5: Solve for x
    x = 90,456,577,600/139,297
  6. Step 6: Final answer
    x = 649,379.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.