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Finding the Third Proportional to 146,212 and 318,866

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Solution

The third proportional to 146,212 and 318,866 is: 695,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,212 : 318,866 = 318,866 : x
  2. Step 2: Convert to fraction form
    146,212/318,866 = 318,866/x
  3. Step 3: Cross multiply
    146,212x = 318,866 × 318,866
  4. Step 4: Simplify right side
    146,212x = 101,675,525,956
  5. Step 5: Solve for x
    x = 101,675,525,956/146,212
  6. Step 6: Final answer
    x = 695,397.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.