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Finding the Third Proportional to 118,228.50 and 178,741.75

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Solution

The third proportional to 118,228.50 and 178,741.75 is: 270,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,228.50 : 178,741.75 = 178,741.75 : x
  2. Step 2: Convert to fraction form
    118,228.50/178,741.75 = 178,741.75/x
  3. Step 3: Cross multiply
    118,228.50x = 178,741.75 × 178,741.75
  4. Step 4: Simplify right side
    118,228.50x = 31,948,613,193.06
  5. Step 5: Solve for x
    x = 31,948,613,193.06/118,228.50
  6. Step 6: Final answer
    x = 270,227.68

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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.