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Finding the Third Proportional to 143,739 and 307,181.25

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Solution

The third proportional to 143,739 and 307,181.25 is: 656,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,739 : 307,181.25 = 307,181.25 : x
  2. Step 2: Convert to fraction form
    143,739/307,181.25 = 307,181.25/x
  3. Step 3: Cross multiply
    143,739x = 307,181.25 × 307,181.25
  4. Step 4: Simplify right side
    143,739x = 94,360,320,351.56
  5. Step 5: Solve for x
    x = 94,360,320,351.56/143,739
  6. Step 6: Final answer
    x = 656,469.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.