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Finding the Third Proportional to 165,560 and 346,110

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Solution

The third proportional to 165,560 and 346,110 is: 723,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,560 : 346,110 = 346,110 : x
  2. Step 2: Convert to fraction form
    165,560/346,110 = 346,110/x
  3. Step 3: Cross multiply
    165,560x = 346,110 × 346,110
  4. Step 4: Simplify right side
    165,560x = 119,792,132,100
  5. Step 5: Solve for x
    x = 119,792,132,100/165,560
  6. Step 6: Final answer
    x = 723,557.21

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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.