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Finding the Third Proportional to 173,763 and 259,114.50

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Solution

The third proportional to 173,763 and 259,114.50 is: 386,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,763 : 259,114.50 = 259,114.50 : x
  2. Step 2: Convert to fraction form
    173,763/259,114.50 = 259,114.50/x
  3. Step 3: Cross multiply
    173,763x = 259,114.50 × 259,114.50
  4. Step 4: Simplify right side
    173,763x = 67,140,324,110.25
  5. Step 5: Solve for x
    x = 67,140,324,110.25/173,763
  6. Step 6: Final answer
    x = 386,390.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.