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Finding the Third Proportional to 158,028 and 380,832

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Solution

The third proportional to 158,028 and 380,832 is: 917,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,028 : 380,832 = 380,832 : x
  2. Step 2: Convert to fraction form
    158,028/380,832 = 380,832/x
  3. Step 3: Cross multiply
    158,028x = 380,832 × 380,832
  4. Step 4: Simplify right side
    158,028x = 145,033,012,224
  5. Step 5: Solve for x
    x = 145,033,012,224/158,028
  6. Step 6: Final answer
    x = 917,767.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.