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Finding the Third Proportional to 195,496.50 and 272,832

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Solution

The third proportional to 195,496.50 and 272,832 is: 380,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,496.50 : 272,832 = 272,832 : x
  2. Step 2: Convert to fraction form
    195,496.50/272,832 = 272,832/x
  3. Step 3: Cross multiply
    195,496.50x = 272,832 × 272,832
  4. Step 4: Simplify right side
    195,496.50x = 74,437,300,224
  5. Step 5: Solve for x
    x = 74,437,300,224/195,496.50
  6. Step 6: Final answer
    x = 380,760.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.