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Finding the Third Proportional to 184,297.50 and 289,158.75

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Solution

The third proportional to 184,297.50 and 289,158.75 is: 453,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,297.50 : 289,158.75 = 289,158.75 : x
  2. Step 2: Convert to fraction form
    184,297.50/289,158.75 = 289,158.75/x
  3. Step 3: Cross multiply
    184,297.50x = 289,158.75 × 289,158.75
  4. Step 4: Simplify right side
    184,297.50x = 83,612,782,701.56
  5. Step 5: Solve for x
    x = 83,612,782,701.56/184,297.50
  6. Step 6: Final answer
    x = 453,683.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.