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Finding the Third Proportional to 113,226 and 239,937

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Solution

The third proportional to 113,226 and 239,937 is: 508,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,226 : 239,937 = 239,937 : x
  2. Step 2: Convert to fraction form
    113,226/239,937 = 239,937/x
  3. Step 3: Cross multiply
    113,226x = 239,937 × 239,937
  4. Step 4: Simplify right side
    113,226x = 57,569,763,969
  5. Step 5: Solve for x
    x = 57,569,763,969/113,226
  6. Step 6: Final answer
    x = 508,450.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.