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Finding the Third Proportional to 191,731.50 and 262,993.50

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Solution

The third proportional to 191,731.50 and 262,993.50 is: 360,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,731.50 : 262,993.50 = 262,993.50 : x
  2. Step 2: Convert to fraction form
    191,731.50/262,993.50 = 262,993.50/x
  3. Step 3: Cross multiply
    191,731.50x = 262,993.50 × 262,993.50
  4. Step 4: Simplify right side
    191,731.50x = 69,165,581,042.25
  5. Step 5: Solve for x
    x = 69,165,581,042.25/191,731.50
  6. Step 6: Final answer
    x = 360,741.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.