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Finding the Third Proportional to 158,983.50 and 345,576.75

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Solution

The third proportional to 158,983.50 and 345,576.75 is: 751,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,983.50 : 345,576.75 = 345,576.75 : x
  2. Step 2: Convert to fraction form
    158,983.50/345,576.75 = 345,576.75/x
  3. Step 3: Cross multiply
    158,983.50x = 345,576.75 × 345,576.75
  4. Step 4: Simplify right side
    158,983.50x = 119,423,290,140.56
  5. Step 5: Solve for x
    x = 119,423,290,140.56/158,983.50
  6. Step 6: Final answer
    x = 751,167.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.