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Finding the Third Proportional to 210,089.50 and 283,056.75

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Solution

The third proportional to 210,089.50 and 283,056.75 is: 381,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,089.50 : 283,056.75 = 283,056.75 : x
  2. Step 2: Convert to fraction form
    210,089.50/283,056.75 = 283,056.75/x
  3. Step 3: Cross multiply
    210,089.50x = 283,056.75 × 283,056.75
  4. Step 4: Simplify right side
    210,089.50x = 80,121,123,720.56
  5. Step 5: Solve for x
    x = 80,121,123,720.56/210,089.50
  6. Step 6: Final answer
    x = 381,366.63

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.