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Finding the Third Proportional to 225,687.38 and 350,582.34

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Solution

The third proportional to 225,687.38 and 350,582.34 is: 544,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,687.38 : 350,582.34 = 350,582.34 : x
  2. Step 2: Convert to fraction form
    225,687.38/350,582.34 = 350,582.34/x
  3. Step 3: Cross multiply
    225,687.38x = 350,582.34 × 350,582.34
  4. Step 4: Simplify right side
    225,687.38x = 122,907,979,749.24
  5. Step 5: Solve for x
    x = 122,907,979,749.24/225,687.38
  6. Step 6: Final answer
    x = 544,593.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.