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Finding the Third Proportional to 230,228 and 355,184

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Solution

The third proportional to 230,228 and 355,184 is: 547,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,228 : 355,184 = 355,184 : x
  2. Step 2: Convert to fraction form
    230,228/355,184 = 355,184/x
  3. Step 3: Cross multiply
    230,228x = 355,184 × 355,184
  4. Step 4: Simplify right side
    230,228x = 126,155,673,856
  5. Step 5: Solve for x
    x = 126,155,673,856/230,228
  6. Step 6: Final answer
    x = 547,959.73

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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.