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Finding the Third Proportional to 134,975 and 290,383

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Solution

The third proportional to 134,975 and 290,383 is: 624,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,975 : 290,383 = 290,383 : x
  2. Step 2: Convert to fraction form
    134,975/290,383 = 290,383/x
  3. Step 3: Cross multiply
    134,975x = 290,383 × 290,383
  4. Step 4: Simplify right side
    134,975x = 84,322,286,689
  5. Step 5: Solve for x
    x = 84,322,286,689/134,975
  6. Step 6: Final answer
    x = 624,725.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.