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Finding the Third Proportional to 130,475.25 and 199,926

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Solution

The third proportional to 130,475.25 and 199,926 is: 306,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,475.25 : 199,926 = 199,926 : x
  2. Step 2: Convert to fraction form
    130,475.25/199,926 = 199,926/x
  3. Step 3: Cross multiply
    130,475.25x = 199,926 × 199,926
  4. Step 4: Simplify right side
    130,475.25x = 39,970,405,476
  5. Step 5: Solve for x
    x = 39,970,405,476/130,475.25
  6. Step 6: Final answer
    x = 306,344.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.