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Finding the Third Proportional to 171,842 and 377,305.75

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Solution

The third proportional to 171,842 and 377,305.75 is: 828,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,842 : 377,305.75 = 377,305.75 : x
  2. Step 2: Convert to fraction form
    171,842/377,305.75 = 377,305.75/x
  3. Step 3: Cross multiply
    171,842x = 377,305.75 × 377,305.75
  4. Step 4: Simplify right side
    171,842x = 142,359,628,983.06
  5. Step 5: Solve for x
    x = 142,359,628,983.06/171,842
  6. Step 6: Final answer
    x = 828,433.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.