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Finding the Third Proportional to 230,244 and 355,214

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Solution

The third proportional to 230,244 and 355,214 is: 548,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,244 : 355,214 = 355,214 : x
  2. Step 2: Convert to fraction form
    230,244/355,214 = 355,214/x
  3. Step 3: Cross multiply
    230,244x = 355,214 × 355,214
  4. Step 4: Simplify right side
    230,244x = 126,176,985,796
  5. Step 5: Solve for x
    x = 126,176,985,796/230,244
  6. Step 6: Final answer
    x = 548,014.22

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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.