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Finding the Third Proportional to 226,995.75 and 318,127.75

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Solution

The third proportional to 226,995.75 and 318,127.75 is: 445,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,995.75 : 318,127.75 = 318,127.75 : x
  2. Step 2: Convert to fraction form
    226,995.75/318,127.75 = 318,127.75/x
  3. Step 3: Cross multiply
    226,995.75x = 318,127.75 × 318,127.75
  4. Step 4: Simplify right side
    226,995.75x = 101,205,265,320.06
  5. Step 5: Solve for x
    x = 101,205,265,320.06/226,995.75
  6. Step 6: Final answer
    x = 445,846.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.