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Finding the Third Proportional to 159,050 and 346,682

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Solution

The third proportional to 159,050 and 346,682 is: 755,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,050 : 346,682 = 346,682 : x
  2. Step 2: Convert to fraction form
    159,050/346,682 = 346,682/x
  3. Step 3: Cross multiply
    159,050x = 346,682 × 346,682
  4. Step 4: Simplify right side
    159,050x = 120,188,409,124
  5. Step 5: Solve for x
    x = 120,188,409,124/159,050
  6. Step 6: Final answer
    x = 755,664.31

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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.