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Finding the Third Proportional to 134,824.50 and 194,217.75

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Solution

The third proportional to 134,824.50 and 194,217.75 is: 279,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,824.50 : 194,217.75 = 194,217.75 : x
  2. Step 2: Convert to fraction form
    134,824.50/194,217.75 = 194,217.75/x
  3. Step 3: Cross multiply
    134,824.50x = 194,217.75 × 194,217.75
  4. Step 4: Simplify right side
    134,824.50x = 37,720,534,415.06
  5. Step 5: Solve for x
    x = 37,720,534,415.06/134,824.50
  6. Step 6: Final answer
    x = 279,775.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.