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Finding the Third Proportional to 137,844 and 300,303

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Solution

The third proportional to 137,844 and 300,303 is: 654,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,844 : 300,303 = 300,303 : x
  2. Step 2: Convert to fraction form
    137,844/300,303 = 300,303/x
  3. Step 3: Cross multiply
    137,844x = 300,303 × 300,303
  4. Step 4: Simplify right side
    137,844x = 90,181,891,809
  5. Step 5: Solve for x
    x = 90,181,891,809/137,844
  6. Step 6: Final answer
    x = 654,231.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.