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Finding the Third Proportional to 239,519.25 and 375,735.38

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Solution

The third proportional to 239,519.25 and 375,735.38 is: 589,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,519.25 : 375,735.38 = 375,735.38 : x
  2. Step 2: Convert to fraction form
    239,519.25/375,735.38 = 375,735.38/x
  3. Step 3: Cross multiply
    239,519.25x = 375,735.38 × 375,735.38
  4. Step 4: Simplify right side
    239,519.25x = 141,177,072,026.39
  5. Step 5: Solve for x
    x = 141,177,072,026.39/239,519.25
  6. Step 6: Final answer
    x = 589,418.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.