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Finding the Third Proportional to 143,962.88 and 225,814.50

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Solution

The third proportional to 143,962.88 and 225,814.50 is: 354,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,962.88 : 225,814.50 = 225,814.50 : x
  2. Step 2: Convert to fraction form
    143,962.88/225,814.50 = 225,814.50/x
  3. Step 3: Cross multiply
    143,962.88x = 225,814.50 × 225,814.50
  4. Step 4: Simplify right side
    143,962.88x = 50,992,188,410.25
  5. Step 5: Solve for x
    x = 50,992,188,410.25/143,962.88
  6. Step 6: Final answer
    x = 354,203.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.