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Finding the Third Proportional to 180,582.75 and 241,591.50

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Solution

The third proportional to 180,582.75 and 241,591.50 is: 323,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,582.75 : 241,591.50 = 241,591.50 : x
  2. Step 2: Convert to fraction form
    180,582.75/241,591.50 = 241,591.50/x
  3. Step 3: Cross multiply
    180,582.75x = 241,591.50 × 241,591.50
  4. Step 4: Simplify right side
    180,582.75x = 58,366,452,872.25
  5. Step 5: Solve for x
    x = 58,366,452,872.25/180,582.75
  6. Step 6: Final answer
    x = 323,211.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.