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Finding the Third Proportional to 169,274.25 and 262,951.88

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Solution

The third proportional to 169,274.25 and 262,951.88 is: 408,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,274.25 : 262,951.88 = 262,951.88 : x
  2. Step 2: Convert to fraction form
    169,274.25/262,951.88 = 262,951.88/x
  3. Step 3: Cross multiply
    169,274.25x = 262,951.88 × 262,951.88
  4. Step 4: Simplify right side
    169,274.25x = 69,143,688,566.02
  5. Step 5: Solve for x
    x = 69,143,688,566.02/169,274.25
  6. Step 6: Final answer
    x = 408,471.39

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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.