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Finding the Third Proportional to 158,642 and 332,848

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Solution

The third proportional to 158,642 and 332,848 is: 698,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,642 : 332,848 = 332,848 : x
  2. Step 2: Convert to fraction form
    158,642/332,848 = 332,848/x
  3. Step 3: Cross multiply
    158,642x = 332,848 × 332,848
  4. Step 4: Simplify right side
    158,642x = 110,787,791,104
  5. Step 5: Solve for x
    x = 110,787,791,104/158,642
  6. Step 6: Final answer
    x = 698,350.95

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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.