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Finding the Third Proportional to 70,338.38 and 162,693.56

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Solution

The third proportional to 70,338.38 and 162,693.56 is: 376,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338.38 : 162,693.56 = 162,693.56 : x
  2. Step 2: Convert to fraction form
    70,338.38/162,693.56 = 162,693.56/x
  3. Step 3: Cross multiply
    70,338.38x = 162,693.56 × 162,693.56
  4. Step 4: Simplify right side
    70,338.38x = 26,469,195,278.94
  5. Step 5: Solve for x
    x = 26,469,195,278.94/70,338.38
  6. Step 6: Final answer
    x = 376,312.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.