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Finding the Third Proportional to 230,222.25 and 355,174.88

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Solution

The third proportional to 230,222.25 and 355,174.88 is: 547,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,222.25 : 355,174.88 = 355,174.88 : x
  2. Step 2: Convert to fraction form
    230,222.25/355,174.88 = 355,174.88/x
  3. Step 3: Cross multiply
    230,222.25x = 355,174.88 × 355,174.88
  4. Step 4: Simplify right side
    230,222.25x = 126,149,191,831.27
  5. Step 5: Solve for x
    x = 126,149,191,831.27/230,222.25
  6. Step 6: Final answer
    x = 547,945.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.