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Finding the Third Proportional to 159,030 and 347,184

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Solution

The third proportional to 159,030 and 347,184 is: 757,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,030 : 347,184 = 347,184 : x
  2. Step 2: Convert to fraction form
    159,030/347,184 = 347,184/x
  3. Step 3: Cross multiply
    159,030x = 347,184 × 347,184
  4. Step 4: Simplify right side
    159,030x = 120,536,729,856
  5. Step 5: Solve for x
    x = 120,536,729,856/159,030
  6. Step 6: Final answer
    x = 757,949.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.