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Finding the Third Proportional to 203,420 and 295,896

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Solution

The third proportional to 203,420 and 295,896 is: 430,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,420 : 295,896 = 295,896 : x
  2. Step 2: Convert to fraction form
    203,420/295,896 = 295,896/x
  3. Step 3: Cross multiply
    203,420x = 295,896 × 295,896
  4. Step 4: Simplify right side
    203,420x = 87,554,442,816
  5. Step 5: Solve for x
    x = 87,554,442,816/203,420
  6. Step 6: Final answer
    x = 430,412.17

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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.