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Finding the Third Proportional to 180,832 and 258,324

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Solution

The third proportional to 180,832 and 258,324 is: 369,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,832 : 258,324 = 258,324 : x
  2. Step 2: Convert to fraction form
    180,832/258,324 = 258,324/x
  3. Step 3: Cross multiply
    180,832x = 258,324 × 258,324
  4. Step 4: Simplify right side
    180,832x = 66,731,288,976
  5. Step 5: Solve for x
    x = 66,731,288,976/180,832
  6. Step 6: Final answer
    x = 369,023.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.