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Finding the Third Proportional to 203,694 and 299,627

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Solution

The third proportional to 203,694 and 299,627 is: 440,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,694 : 299,627 = 299,627 : x
  2. Step 2: Convert to fraction form
    203,694/299,627 = 299,627/x
  3. Step 3: Cross multiply
    203,694x = 299,627 × 299,627
  4. Step 4: Simplify right side
    203,694x = 89,776,339,129
  5. Step 5: Solve for x
    x = 89,776,339,129/203,694
  6. Step 6: Final answer
    x = 440,741.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.