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Finding the Third Proportional to 158,940.75 and 238,410.75

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Solution

The third proportional to 158,940.75 and 238,410.75 is: 357,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,940.75 : 238,410.75 = 238,410.75 : x
  2. Step 2: Convert to fraction form
    158,940.75/238,410.75 = 238,410.75/x
  3. Step 3: Cross multiply
    158,940.75x = 238,410.75 × 238,410.75
  4. Step 4: Simplify right side
    158,940.75x = 56,839,685,715.56
  5. Step 5: Solve for x
    x = 56,839,685,715.56/158,940.75
  6. Step 6: Final answer
    x = 357,615.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.