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Finding the Third Proportional to 180,328 and 259,746

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Solution

The third proportional to 180,328 and 259,746 is: 374,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,328 : 259,746 = 259,746 : x
  2. Step 2: Convert to fraction form
    180,328/259,746 = 259,746/x
  3. Step 3: Cross multiply
    180,328x = 259,746 × 259,746
  4. Step 4: Simplify right side
    180,328x = 67,467,984,516
  5. Step 5: Solve for x
    x = 67,467,984,516/180,328
  6. Step 6: Final answer
    x = 374,140.37

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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.