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Finding the Third Proportional to 207,276.38 and 320,076.56

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Solution

The third proportional to 207,276.38 and 320,076.56 is: 494,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,276.38 : 320,076.56 = 320,076.56 : x
  2. Step 2: Convert to fraction form
    207,276.38/320,076.56 = 320,076.56/x
  3. Step 3: Cross multiply
    207,276.38x = 320,076.56 × 320,076.56
  4. Step 4: Simplify right side
    207,276.38x = 102,449,005,861.82
  5. Step 5: Solve for x
    x = 102,449,005,861.82/207,276.38
  6. Step 6: Final answer
    x = 494,262.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.