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Finding the Third Proportional to 113,376 and 239,044

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Solution

The third proportional to 113,376 and 239,044 is: 504,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,376 : 239,044 = 239,044 : x
  2. Step 2: Convert to fraction form
    113,376/239,044 = 239,044/x
  3. Step 3: Cross multiply
    113,376x = 239,044 × 239,044
  4. Step 4: Simplify right side
    113,376x = 57,142,033,936
  5. Step 5: Solve for x
    x = 57,142,033,936/113,376
  6. Step 6: Final answer
    x = 504,004.67

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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.