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Finding the Third Proportional to 112,811.50 and 240,635

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Solution

The third proportional to 112,811.50 and 240,635 is: 513,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,811.50 : 240,635 = 240,635 : x
  2. Step 2: Convert to fraction form
    112,811.50/240,635 = 240,635/x
  3. Step 3: Cross multiply
    112,811.50x = 240,635 × 240,635
  4. Step 4: Simplify right side
    112,811.50x = 57,905,203,225
  5. Step 5: Solve for x
    x = 57,905,203,225/112,811.50
  6. Step 6: Final answer
    x = 513,291.67

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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.