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Finding the Third Proportional to 139,086 and 300,345

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Solution

The third proportional to 139,086 and 300,345 is: 648,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,086 : 300,345 = 300,345 : x
  2. Step 2: Convert to fraction form
    139,086/300,345 = 300,345/x
  3. Step 3: Cross multiply
    139,086x = 300,345 × 300,345
  4. Step 4: Simplify right side
    139,086x = 90,207,119,025
  5. Step 5: Solve for x
    x = 90,207,119,025/139,086
  6. Step 6: Final answer
    x = 648,570.81

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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.