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Finding the Third Proportional to 140,976 and 305,184

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Solution

The third proportional to 140,976 and 305,184 is: 660,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,976 : 305,184 = 305,184 : x
  2. Step 2: Convert to fraction form
    140,976/305,184 = 305,184/x
  3. Step 3: Cross multiply
    140,976x = 305,184 × 305,184
  4. Step 4: Simplify right side
    140,976x = 93,137,273,856
  5. Step 5: Solve for x
    x = 93,137,273,856/140,976
  6. Step 6: Final answer
    x = 660,660.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.