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Finding the Third Proportional to 105,671 and 230,935

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Solution

The third proportional to 105,671 and 230,935 is: 504,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,671 : 230,935 = 230,935 : x
  2. Step 2: Convert to fraction form
    105,671/230,935 = 230,935/x
  3. Step 3: Cross multiply
    105,671x = 230,935 × 230,935
  4. Step 4: Simplify right side
    105,671x = 53,330,974,225
  5. Step 5: Solve for x
    x = 53,330,974,225/105,671
  6. Step 6: Final answer
    x = 504,688.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.