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Finding the Third Proportional to 82,242 and 176,958

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Solution

The third proportional to 82,242 and 176,958 is: 380,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,242 : 176,958 = 176,958 : x
  2. Step 2: Convert to fraction form
    82,242/176,958 = 176,958/x
  3. Step 3: Cross multiply
    82,242x = 176,958 × 176,958
  4. Step 4: Simplify right side
    82,242x = 31,314,133,764
  5. Step 5: Solve for x
    x = 31,314,133,764/82,242
  6. Step 6: Final answer
    x = 380,755.99

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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.