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Finding the Third Proportional to 105,966 and 230,157

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Solution

The third proportional to 105,966 and 230,157 is: 499,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,966 : 230,157 = 230,157 : x
  2. Step 2: Convert to fraction form
    105,966/230,157 = 230,157/x
  3. Step 3: Cross multiply
    105,966x = 230,157 × 230,157
  4. Step 4: Simplify right side
    105,966x = 52,972,244,649
  5. Step 5: Solve for x
    x = 52,972,244,649/105,966
  6. Step 6: Final answer
    x = 499,898.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.