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Finding the Third Proportional to 118,224 and 178,567

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Solution

The third proportional to 118,224 and 178,567 is: 269,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,224 : 178,567 = 178,567 : x
  2. Step 2: Convert to fraction form
    118,224/178,567 = 178,567/x
  3. Step 3: Cross multiply
    118,224x = 178,567 × 178,567
  4. Step 4: Simplify right side
    118,224x = 31,886,173,489
  5. Step 5: Solve for x
    x = 31,886,173,489/118,224
  6. Step 6: Final answer
    x = 269,709.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.