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Finding the Third Proportional to 169,573.50 and 262,449

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Solution

The third proportional to 169,573.50 and 262,449 is: 406,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,573.50 : 262,449 = 262,449 : x
  2. Step 2: Convert to fraction form
    169,573.50/262,449 = 262,449/x
  3. Step 3: Cross multiply
    169,573.50x = 262,449 × 262,449
  4. Step 4: Simplify right side
    169,573.50x = 68,879,477,601
  5. Step 5: Solve for x
    x = 68,879,477,601/169,573.50
  6. Step 6: Final answer
    x = 406,192.46

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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.