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Finding the Third Proportional to 110,828 and 235,500

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Solution

The third proportional to 110,828 and 235,500 is: 500,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,828 : 235,500 = 235,500 : x
  2. Step 2: Convert to fraction form
    110,828/235,500 = 235,500/x
  3. Step 3: Cross multiply
    110,828x = 235,500 × 235,500
  4. Step 4: Simplify right side
    110,828x = 55,460,250,000
  5. Step 5: Solve for x
    x = 55,460,250,000/110,828
  6. Step 6: Final answer
    x = 500,417.31

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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.