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Finding the Third Proportional to 110,910 and 235,664

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Solution

The third proportional to 110,910 and 235,664 is: 500,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,910 : 235,664 = 235,664 : x
  2. Step 2: Convert to fraction form
    110,910/235,664 = 235,664/x
  3. Step 3: Cross multiply
    110,910x = 235,664 × 235,664
  4. Step 4: Simplify right side
    110,910x = 55,537,520,896
  5. Step 5: Solve for x
    x = 55,537,520,896/110,910
  6. Step 6: Final answer
    x = 500,744.03

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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.