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Finding the Third Proportional to 259,482.75 and 365,250

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Solution

The third proportional to 259,482.75 and 365,250 is: 514,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,482.75 : 365,250 = 365,250 : x
  2. Step 2: Convert to fraction form
    259,482.75/365,250 = 365,250/x
  3. Step 3: Cross multiply
    259,482.75x = 365,250 × 365,250
  4. Step 4: Simplify right side
    259,482.75x = 133,407,562,500
  5. Step 5: Solve for x
    x = 133,407,562,500/259,482.75
  6. Step 6: Final answer
    x = 514,128.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.