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Finding the Third Proportional to 169,011.75 and 342,690.38

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Solution

The third proportional to 169,011.75 and 342,690.38 is: 694,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,011.75 : 342,690.38 = 342,690.38 : x
  2. Step 2: Convert to fraction form
    169,011.75/342,690.38 = 342,690.38/x
  3. Step 3: Cross multiply
    169,011.75x = 342,690.38 × 342,690.38
  4. Step 4: Simplify right side
    169,011.75x = 117,436,693,117.64
  5. Step 5: Solve for x
    x = 117,436,693,117.64/169,011.75
  6. Step 6: Final answer
    x = 694,843.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.