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Finding the Third Proportional to 158,482 and 348,067

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Solution

The third proportional to 158,482 and 348,067 is: 764,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,482 : 348,067 = 348,067 : x
  2. Step 2: Convert to fraction form
    158,482/348,067 = 348,067/x
  3. Step 3: Cross multiply
    158,482x = 348,067 × 348,067
  4. Step 4: Simplify right side
    158,482x = 121,150,636,489
  5. Step 5: Solve for x
    x = 121,150,636,489/158,482
  6. Step 6: Final answer
    x = 764,444.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.