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Finding the Third Proportional to 111,058 and 242,828

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Solution

The third proportional to 111,058 and 242,828 is: 530,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,058 : 242,828 = 242,828 : x
  2. Step 2: Convert to fraction form
    111,058/242,828 = 242,828/x
  3. Step 3: Cross multiply
    111,058x = 242,828 × 242,828
  4. Step 4: Simplify right side
    111,058x = 58,965,437,584
  5. Step 5: Solve for x
    x = 58,965,437,584/111,058
  6. Step 6: Final answer
    x = 530,942.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.