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Finding the Third Proportional to 165,566 and 346,124

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Solution

The third proportional to 165,566 and 346,124 is: 723,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,566 : 346,124 = 346,124 : x
  2. Step 2: Convert to fraction form
    165,566/346,124 = 346,124/x
  3. Step 3: Cross multiply
    165,566x = 346,124 × 346,124
  4. Step 4: Simplify right side
    165,566x = 119,801,823,376
  5. Step 5: Solve for x
    x = 119,801,823,376/165,566
  6. Step 6: Final answer
    x = 723,589.53

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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.