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Finding the Third Proportional to 180,003.50 and 232,279

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Solution

The third proportional to 180,003.50 and 232,279 is: 299,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.50 : 232,279 = 232,279 : x
  2. Step 2: Convert to fraction form
    180,003.50/232,279 = 232,279/x
  3. Step 3: Cross multiply
    180,003.50x = 232,279 × 232,279
  4. Step 4: Simplify right side
    180,003.50x = 53,953,533,841
  5. Step 5: Solve for x
    x = 53,953,533,841/180,003.50
  6. Step 6: Final answer
    x = 299,736.03

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.