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Finding the Third Proportional to 158,338 and 332,036

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Solution

The third proportional to 158,338 and 332,036 is: 696,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,338 : 332,036 = 332,036 : x
  2. Step 2: Convert to fraction form
    158,338/332,036 = 332,036/x
  3. Step 3: Cross multiply
    158,338x = 332,036 × 332,036
  4. Step 4: Simplify right side
    158,338x = 110,247,905,296
  5. Step 5: Solve for x
    x = 110,247,905,296/158,338
  6. Step 6: Final answer
    x = 696,282.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.