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Finding the Third Proportional to 165,560 and 346,108

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Solution

The third proportional to 165,560 and 346,108 is: 723,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,560 : 346,108 = 346,108 : x
  2. Step 2: Convert to fraction form
    165,560/346,108 = 346,108/x
  3. Step 3: Cross multiply
    165,560x = 346,108 × 346,108
  4. Step 4: Simplify right side
    165,560x = 119,790,747,664
  5. Step 5: Solve for x
    x = 119,790,747,664/165,560
  6. Step 6: Final answer
    x = 723,548.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.