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Finding the Third Proportional to 170,994.38 and 263,214.56

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Solution

The third proportional to 170,994.38 and 263,214.56 is: 405,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,994.38 : 263,214.56 = 263,214.56 : x
  2. Step 2: Convert to fraction form
    170,994.38/263,214.56 = 263,214.56/x
  3. Step 3: Cross multiply
    170,994.38x = 263,214.56 × 263,214.56
  4. Step 4: Simplify right side
    170,994.38x = 69,281,905,912.07
  5. Step 5: Solve for x
    x = 69,281,905,912.07/170,994.38
  6. Step 6: Final answer
    x = 405,170.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.