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Finding the Third Proportional to 158,949 and 229,851

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Solution

The third proportional to 158,949 and 229,851 is: 332,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,949 : 229,851 = 229,851 : x
  2. Step 2: Convert to fraction form
    158,949/229,851 = 229,851/x
  3. Step 3: Cross multiply
    158,949x = 229,851 × 229,851
  4. Step 4: Simplify right side
    158,949x = 52,831,482,201
  5. Step 5: Solve for x
    x = 52,831,482,201/158,949
  6. Step 6: Final answer
    x = 332,380.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.