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Finding the Third Proportional to 209,650.50 and 279,321

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Solution

The third proportional to 209,650.50 and 279,321 is: 372,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,650.50 : 279,321 = 279,321 : x
  2. Step 2: Convert to fraction form
    209,650.50/279,321 = 279,321/x
  3. Step 3: Cross multiply
    209,650.50x = 279,321 × 279,321
  4. Step 4: Simplify right side
    209,650.50x = 78,020,221,041
  5. Step 5: Solve for x
    x = 78,020,221,041/209,650.50
  6. Step 6: Final answer
    x = 372,144.22

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.