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Finding the Third Proportional to 118,595 and 259,078

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Solution

The third proportional to 118,595 and 259,078 is: 565,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,595 : 259,078 = 259,078 : x
  2. Step 2: Convert to fraction form
    118,595/259,078 = 259,078/x
  3. Step 3: Cross multiply
    118,595x = 259,078 × 259,078
  4. Step 4: Simplify right side
    118,595x = 67,121,410,084
  5. Step 5: Solve for x
    x = 67,121,410,084/118,595
  6. Step 6: Final answer
    x = 565,971.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.