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Finding the Third Proportional to 180,258.75 and 280,233

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Solution

The third proportional to 180,258.75 and 280,233 is: 435,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,258.75 : 280,233 = 280,233 : x
  2. Step 2: Convert to fraction form
    180,258.75/280,233 = 280,233/x
  3. Step 3: Cross multiply
    180,258.75x = 280,233 × 280,233
  4. Step 4: Simplify right side
    180,258.75x = 78,530,534,289
  5. Step 5: Solve for x
    x = 78,530,534,289/180,258.75
  6. Step 6: Final answer
    x = 435,654.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.