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Finding the Third Proportional to 137,278 and 300,800

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Solution

The third proportional to 137,278 and 300,800 is: 659,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,278 : 300,800 = 300,800 : x
  2. Step 2: Convert to fraction form
    137,278/300,800 = 300,800/x
  3. Step 3: Cross multiply
    137,278x = 300,800 × 300,800
  4. Step 4: Simplify right side
    137,278x = 90,480,640,000
  5. Step 5: Solve for x
    x = 90,480,640,000/137,278
  6. Step 6: Final answer
    x = 659,105.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.