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Finding the Third Proportional to 110,832 and 235,508

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Solution

The third proportional to 110,832 and 235,508 is: 500,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,832 : 235,508 = 235,508 : x
  2. Step 2: Convert to fraction form
    110,832/235,508 = 235,508/x
  3. Step 3: Cross multiply
    110,832x = 235,508 × 235,508
  4. Step 4: Simplify right side
    110,832x = 55,464,018,064
  5. Step 5: Solve for x
    x = 55,464,018,064/110,832
  6. Step 6: Final answer
    x = 500,433.25

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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.