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Finding the Third Proportional to 136,962 and 298,836

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Solution

The third proportional to 136,962 and 298,836 is: 652,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,962 : 298,836 = 298,836 : x
  2. Step 2: Convert to fraction form
    136,962/298,836 = 298,836/x
  3. Step 3: Cross multiply
    136,962x = 298,836 × 298,836
  4. Step 4: Simplify right side
    136,962x = 89,302,954,896
  5. Step 5: Solve for x
    x = 89,302,954,896/136,962
  6. Step 6: Final answer
    x = 652,027.24

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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.