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Finding the Third Proportional to 143,192 and 304,816

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Solution

The third proportional to 143,192 and 304,816 is: 648,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,192 : 304,816 = 304,816 : x
  2. Step 2: Convert to fraction form
    143,192/304,816 = 304,816/x
  3. Step 3: Cross multiply
    143,192x = 304,816 × 304,816
  4. Step 4: Simplify right side
    143,192x = 92,912,793,856
  5. Step 5: Solve for x
    x = 92,912,793,856/143,192
  6. Step 6: Final answer
    x = 648,868.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.