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Finding the Third Proportional to 211,901.75 and 320,012.75

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Solution

The third proportional to 211,901.75 and 320,012.75 is: 483,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,901.75 : 320,012.75 = 320,012.75 : x
  2. Step 2: Convert to fraction form
    211,901.75/320,012.75 = 320,012.75/x
  3. Step 3: Cross multiply
    211,901.75x = 320,012.75 × 320,012.75
  4. Step 4: Simplify right side
    211,901.75x = 102,408,160,162.56
  5. Step 5: Solve for x
    x = 102,408,160,162.56/211,901.75
  6. Step 6: Final answer
    x = 483,281.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.