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Finding the Third Proportional to 159,108 and 346,620

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Solution

The third proportional to 159,108 and 346,620 is: 755,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,108 : 346,620 = 346,620 : x
  2. Step 2: Convert to fraction form
    159,108/346,620 = 346,620/x
  3. Step 3: Cross multiply
    159,108x = 346,620 × 346,620
  4. Step 4: Simplify right side
    159,108x = 120,145,424,400
  5. Step 5: Solve for x
    x = 120,145,424,400/159,108
  6. Step 6: Final answer
    x = 755,118.69

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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.