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Finding the Third Proportional to 230,229 and 355,178.25

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Solution

The third proportional to 230,229 and 355,178.25 is: 547,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,229 : 355,178.25 = 355,178.25 : x
  2. Step 2: Convert to fraction form
    230,229/355,178.25 = 355,178.25/x
  3. Step 3: Cross multiply
    230,229x = 355,178.25 × 355,178.25
  4. Step 4: Simplify right side
    230,229x = 126,151,589,273.06
  5. Step 5: Solve for x
    x = 126,151,589,273.06/230,229
  6. Step 6: Final answer
    x = 547,939.61

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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.