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Finding the Third Proportional to 118,827 and 264,223

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Solution

The third proportional to 118,827 and 264,223 is: 587,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,827 : 264,223 = 264,223 : x
  2. Step 2: Convert to fraction form
    118,827/264,223 = 264,223/x
  3. Step 3: Cross multiply
    118,827x = 264,223 × 264,223
  4. Step 4: Simplify right side
    118,827x = 69,813,793,729
  5. Step 5: Solve for x
    x = 69,813,793,729/118,827
  6. Step 6: Final answer
    x = 587,524.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.