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Finding the Third Proportional to 250,137 and 590,112

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Solution

The third proportional to 250,137 and 590,112 is: 1,392,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,137 : 590,112 = 590,112 : x
  2. Step 2: Convert to fraction form
    250,137/590,112 = 590,112/x
  3. Step 3: Cross multiply
    250,137x = 590,112 × 590,112
  4. Step 4: Simplify right side
    250,137x = 348,232,172,544
  5. Step 5: Solve for x
    x = 348,232,172,544/250,137
  6. Step 6: Final answer
    x = 1,392,165.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.