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Finding the Third Proportional to 142,647.75 and 213,524.44

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Solution

The third proportional to 142,647.75 and 213,524.44 is: 319,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,647.75 : 213,524.44 = 213,524.44 : x
  2. Step 2: Convert to fraction form
    142,647.75/213,524.44 = 213,524.44/x
  3. Step 3: Cross multiply
    142,647.75x = 213,524.44 × 213,524.44
  4. Step 4: Simplify right side
    142,647.75x = 45,592,685,409.69
  5. Step 5: Solve for x
    x = 45,592,685,409.69/142,647.75
  6. Step 6: Final answer
    x = 319,617.28

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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.