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Finding the Third Proportional to 146,292 and 218,481

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Solution

The third proportional to 146,292 and 218,481 is: 326,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,292 : 218,481 = 218,481 : x
  2. Step 2: Convert to fraction form
    146,292/218,481 = 218,481/x
  3. Step 3: Cross multiply
    146,292x = 218,481 × 218,481
  4. Step 4: Simplify right side
    146,292x = 47,733,947,361
  5. Step 5: Solve for x
    x = 47,733,947,361/146,292
  6. Step 6: Final answer
    x = 326,292.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.