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Finding the Third Proportional to 225,628 and 299,500

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Solution

The third proportional to 225,628 and 299,500 is: 397,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,628 : 299,500 = 299,500 : x
  2. Step 2: Convert to fraction form
    225,628/299,500 = 299,500/x
  3. Step 3: Cross multiply
    225,628x = 299,500 × 299,500
  4. Step 4: Simplify right side
    225,628x = 89,700,250,000
  5. Step 5: Solve for x
    x = 89,700,250,000/225,628
  6. Step 6: Final answer
    x = 397,558.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.