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Finding the Third Proportional to 146,511 and 311,013

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Solution

The third proportional to 146,511 and 311,013 is: 660,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,511 : 311,013 = 311,013 : x
  2. Step 2: Convert to fraction form
    146,511/311,013 = 311,013/x
  3. Step 3: Cross multiply
    146,511x = 311,013 × 311,013
  4. Step 4: Simplify right side
    146,511x = 96,729,086,169
  5. Step 5: Solve for x
    x = 96,729,086,169/146,511
  6. Step 6: Final answer
    x = 660,217.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.