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Finding the Third Proportional to 169,338.38 and 262,344.38

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Solution

The third proportional to 169,338.38 and 262,344.38 is: 406,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,338.38 : 262,344.38 = 262,344.38 : x
  2. Step 2: Convert to fraction form
    169,338.38/262,344.38 = 262,344.38/x
  3. Step 3: Cross multiply
    169,338.38x = 262,344.38 × 262,344.38
  4. Step 4: Simplify right side
    169,338.38x = 68,824,571,094.14
  5. Step 5: Solve for x
    x = 68,824,571,094.14/169,338.38
  6. Step 6: Final answer
    x = 406,432.22

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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.