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Finding the Third Proportional to 169,022.25 and 342,711

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Solution

The third proportional to 169,022.25 and 342,711 is: 694,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,022.25 : 342,711 = 342,711 : x
  2. Step 2: Convert to fraction form
    169,022.25/342,711 = 342,711/x
  3. Step 3: Cross multiply
    169,022.25x = 342,711 × 342,711
  4. Step 4: Simplify right side
    169,022.25x = 117,450,829,521
  5. Step 5: Solve for x
    x = 117,450,829,521/169,022.25
  6. Step 6: Final answer
    x = 694,883.84

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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.