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Finding the Third Proportional to 207,076.50 and 327,300.75

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Solution

The third proportional to 207,076.50 and 327,300.75 is: 517,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,076.50 : 327,300.75 = 327,300.75 : x
  2. Step 2: Convert to fraction form
    207,076.50/327,300.75 = 327,300.75/x
  3. Step 3: Cross multiply
    207,076.50x = 327,300.75 × 327,300.75
  4. Step 4: Simplify right side
    207,076.50x = 107,125,780,950.56
  5. Step 5: Solve for x
    x = 107,125,780,950.56/207,076.50
  6. Step 6: Final answer
    x = 517,324.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.