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Finding the Third Proportional to 180,283.50 and 384,697

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Solution

The third proportional to 180,283.50 and 384,697 is: 820,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,283.50 : 384,697 = 384,697 : x
  2. Step 2: Convert to fraction form
    180,283.50/384,697 = 384,697/x
  3. Step 3: Cross multiply
    180,283.50x = 384,697 × 384,697
  4. Step 4: Simplify right side
    180,283.50x = 147,991,781,809
  5. Step 5: Solve for x
    x = 147,991,781,809/180,283.50
  6. Step 6: Final answer
    x = 820,883.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.