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Finding the Third Proportional to 150,486.75 and 313,428.75

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Solution

The third proportional to 150,486.75 and 313,428.75 is: 652,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,486.75 : 313,428.75 = 313,428.75 : x
  2. Step 2: Convert to fraction form
    150,486.75/313,428.75 = 313,428.75/x
  3. Step 3: Cross multiply
    150,486.75x = 313,428.75 × 313,428.75
  4. Step 4: Simplify right side
    150,486.75x = 98,237,581,326.56
  5. Step 5: Solve for x
    x = 98,237,581,326.56/150,486.75
  6. Step 6: Final answer
    x = 652,798.88

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.