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Finding the Third Proportional to 180,186 and 259,551

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Solution

The third proportional to 180,186 and 259,551 is: 373,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,186 : 259,551 = 259,551 : x
  2. Step 2: Convert to fraction form
    180,186/259,551 = 259,551/x
  3. Step 3: Cross multiply
    180,186x = 259,551 × 259,551
  4. Step 4: Simplify right side
    180,186x = 67,366,721,601
  5. Step 5: Solve for x
    x = 67,366,721,601/180,186
  6. Step 6: Final answer
    x = 373,873.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.