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Finding the Third Proportional to 188,433 and 283,047.75

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Solution

The third proportional to 188,433 and 283,047.75 is: 425,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,433 : 283,047.75 = 283,047.75 : x
  2. Step 2: Convert to fraction form
    188,433/283,047.75 = 283,047.75/x
  3. Step 3: Cross multiply
    188,433x = 283,047.75 × 283,047.75
  4. Step 4: Simplify right side
    188,433x = 80,116,028,780.06
  5. Step 5: Solve for x
    x = 80,116,028,780.06/188,433
  6. Step 6: Final answer
    x = 425,169.84

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