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Finding the Third Proportional to 135,319.50 and 189,185

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Solution

The third proportional to 135,319.50 and 189,185 is: 264,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,319.50 : 189,185 = 189,185 : x
  2. Step 2: Convert to fraction form
    135,319.50/189,185 = 189,185/x
  3. Step 3: Cross multiply
    135,319.50x = 189,185 × 189,185
  4. Step 4: Simplify right side
    135,319.50x = 35,790,964,225
  5. Step 5: Solve for x
    x = 35,790,964,225/135,319.50
  6. Step 6: Final answer
    x = 264,492.29

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Why These Related Problems?

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