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Finding the Third Proportional to 238,499.44 and 341,394.75

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Solution

The third proportional to 238,499.44 and 341,394.75 is: 488,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,499.44 : 341,394.75 = 341,394.75 : x
  2. Step 2: Convert to fraction form
    238,499.44/341,394.75 = 341,394.75/x
  3. Step 3: Cross multiply
    238,499.44x = 341,394.75 × 341,394.75
  4. Step 4: Simplify right side
    238,499.44x = 116,550,375,327.56
  5. Step 5: Solve for x
    x = 116,550,375,327.56/238,499.44
  6. Step 6: Final answer
    x = 488,681.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.