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Finding the Third Proportional to 111,011 and 239,758

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Solution

The third proportional to 111,011 and 239,758 is: 517,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,011 : 239,758 = 239,758 : x
  2. Step 2: Convert to fraction form
    111,011/239,758 = 239,758/x
  3. Step 3: Cross multiply
    111,011x = 239,758 × 239,758
  4. Step 4: Simplify right side
    111,011x = 57,483,898,564
  5. Step 5: Solve for x
    x = 57,483,898,564/111,011
  6. Step 6: Final answer
    x = 517,821.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.