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Finding the Third Proportional to 169,269 and 262,942

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Solution

The third proportional to 169,269 and 262,942 is: 408,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,269 : 262,942 = 262,942 : x
  2. Step 2: Convert to fraction form
    169,269/262,942 = 262,942/x
  3. Step 3: Cross multiply
    169,269x = 262,942 × 262,942
  4. Step 4: Simplify right side
    169,269x = 69,138,495,364
  5. Step 5: Solve for x
    x = 69,138,495,364/169,269
  6. Step 6: Final answer
    x = 408,453.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.