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Finding the Third Proportional to 165,564 and 346,116

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Solution

The third proportional to 165,564 and 346,116 is: 723,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,564 : 346,116 = 346,116 : x
  2. Step 2: Convert to fraction form
    165,564/346,116 = 346,116/x
  3. Step 3: Cross multiply
    165,564x = 346,116 × 346,116
  4. Step 4: Simplify right side
    165,564x = 119,796,285,456
  5. Step 5: Solve for x
    x = 119,796,285,456/165,564
  6. Step 6: Final answer
    x = 723,564.82

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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.