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Finding the Third Proportional to 265,926.75 and 399,162.75

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Solution

The third proportional to 265,926.75 and 399,162.75 is: 599,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,926.75 : 399,162.75 = 399,162.75 : x
  2. Step 2: Convert to fraction form
    265,926.75/399,162.75 = 399,162.75/x
  3. Step 3: Cross multiply
    265,926.75x = 399,162.75 × 399,162.75
  4. Step 4: Simplify right side
    265,926.75x = 159,330,900,987.56
  5. Step 5: Solve for x
    x = 159,330,900,987.56/265,926.75
  6. Step 6: Final answer
    x = 599,153.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.