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Finding the Third Proportional to 113,176 and 238,744

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Solution

The third proportional to 113,176 and 238,744 is: 503,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,176 : 238,744 = 238,744 : x
  2. Step 2: Convert to fraction form
    113,176/238,744 = 238,744/x
  3. Step 3: Cross multiply
    113,176x = 238,744 × 238,744
  4. Step 4: Simplify right side
    113,176x = 56,998,697,536
  5. Step 5: Solve for x
    x = 56,998,697,536/113,176
  6. Step 6: Final answer
    x = 503,628.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.