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Finding the Third Proportional to 169,255.50 and 262,923.94

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Solution

The third proportional to 169,255.50 and 262,923.94 is: 408,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,255.50 : 262,923.94 = 262,923.94 : x
  2. Step 2: Convert to fraction form
    169,255.50/262,923.94 = 262,923.94/x
  3. Step 3: Cross multiply
    169,255.50x = 262,923.94 × 262,923.94
  4. Step 4: Simplify right side
    169,255.50x = 69,128,996,910.50
  5. Step 5: Solve for x
    x = 69,128,996,910.50/169,255.50
  6. Step 6: Final answer
    x = 408,429.84

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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.