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Finding the Third Proportional to 189,055 and 283,582.50

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Solution

The third proportional to 189,055 and 283,582.50 is: 425,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,055 : 283,582.50 = 283,582.50 : x
  2. Step 2: Convert to fraction form
    189,055/283,582.50 = 283,582.50/x
  3. Step 3: Cross multiply
    189,055x = 283,582.50 × 283,582.50
  4. Step 4: Simplify right side
    189,055x = 80,419,034,306.25
  5. Step 5: Solve for x
    x = 80,419,034,306.25/189,055
  6. Step 6: Final answer
    x = 425,373.75

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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.