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Finding the Third Proportional to 203,436 and 295,920

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Solution

The third proportional to 203,436 and 295,920 is: 430,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,436 : 295,920 = 295,920 : x
  2. Step 2: Convert to fraction form
    203,436/295,920 = 295,920/x
  3. Step 3: Cross multiply
    203,436x = 295,920 × 295,920
  4. Step 4: Simplify right side
    203,436x = 87,568,646,400
  5. Step 5: Solve for x
    x = 87,568,646,400/203,436
  6. Step 6: Final answer
    x = 430,448.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.