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Finding the Third Proportional to 150,321.38 and 313,081.31

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Solution

The third proportional to 150,321.38 and 313,081.31 is: 652,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,321.38 : 313,081.31 = 313,081.31 : x
  2. Step 2: Convert to fraction form
    150,321.38/313,081.31 = 313,081.31/x
  3. Step 3: Cross multiply
    150,321.38x = 313,081.31 × 313,081.31
  4. Step 4: Simplify right side
    150,321.38x = 98,019,908,236.72
  5. Step 5: Solve for x
    x = 98,019,908,236.72/150,321.38
  6. Step 6: Final answer
    x = 652,069.00

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Why These Related Problems?

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