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Finding the Third Proportional to 179,870.63 and 386,958.38

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Solution

The third proportional to 179,870.63 and 386,958.38 is: 832,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,870.63 : 386,958.38 = 386,958.38 : x
  2. Step 2: Convert to fraction form
    179,870.63/386,958.38 = 386,958.38/x
  3. Step 3: Cross multiply
    179,870.63x = 386,958.38 × 386,958.38
  4. Step 4: Simplify right side
    179,870.63x = 149,736,783,982.64
  5. Step 5: Solve for x
    x = 149,736,783,982.64/179,870.63
  6. Step 6: Final answer
    x = 832,469.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.