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Finding the Third Proportional to 109,187 and 231,495

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Solution

The third proportional to 109,187 and 231,495 is: 490,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,187 : 231,495 = 231,495 : x
  2. Step 2: Convert to fraction form
    109,187/231,495 = 231,495/x
  3. Step 3: Cross multiply
    109,187x = 231,495 × 231,495
  4. Step 4: Simplify right side
    109,187x = 53,589,935,025
  5. Step 5: Solve for x
    x = 53,589,935,025/109,187
  6. Step 6: Final answer
    x = 490,808.75

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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.