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Finding the Third Proportional to 139,084 and 300,341

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Solution

The third proportional to 139,084 and 300,341 is: 648,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,084 : 300,341 = 300,341 : x
  2. Step 2: Convert to fraction form
    139,084/300,341 = 300,341/x
  3. Step 3: Cross multiply
    139,084x = 300,341 × 300,341
  4. Step 4: Simplify right side
    139,084x = 90,204,716,281
  5. Step 5: Solve for x
    x = 90,204,716,281/139,084
  6. Step 6: Final answer
    x = 648,562.86

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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.