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Finding the Third Proportional to 250,372 and 340,998

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Solution

The third proportional to 250,372 and 340,998 is: 464,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,372 : 340,998 = 340,998 : x
  2. Step 2: Convert to fraction form
    250,372/340,998 = 340,998/x
  3. Step 3: Cross multiply
    250,372x = 340,998 × 340,998
  4. Step 4: Simplify right side
    250,372x = 116,279,636,004
  5. Step 5: Solve for x
    x = 116,279,636,004/250,372
  6. Step 6: Final answer
    x = 464,427.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.