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Finding the Third Proportional to 171,940 and 262,998

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Solution

The third proportional to 171,940 and 262,998 is: 402,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,940 : 262,998 = 262,998 : x
  2. Step 2: Convert to fraction form
    171,940/262,998 = 262,998/x
  3. Step 3: Cross multiply
    171,940x = 262,998 × 262,998
  4. Step 4: Simplify right side
    171,940x = 69,167,948,004
  5. Step 5: Solve for x
    x = 69,167,948,004/171,940
  6. Step 6: Final answer
    x = 402,279.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.