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Finding the Third Proportional to 206,509.50 and 300,777.75

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Solution

The third proportional to 206,509.50 and 300,777.75 is: 438,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,509.50 : 300,777.75 = 300,777.75 : x
  2. Step 2: Convert to fraction form
    206,509.50/300,777.75 = 300,777.75/x
  3. Step 3: Cross multiply
    206,509.50x = 300,777.75 × 300,777.75
  4. Step 4: Simplify right side
    206,509.50x = 90,467,254,895.06
  5. Step 5: Solve for x
    x = 90,467,254,895.06/206,509.50
  6. Step 6: Final answer
    x = 438,077.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.