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Finding the Third Proportional to 105,964.50 and 230,154

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Solution

The third proportional to 105,964.50 and 230,154 is: 499,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,964.50 : 230,154 = 230,154 : x
  2. Step 2: Convert to fraction form
    105,964.50/230,154 = 230,154/x
  3. Step 3: Cross multiply
    105,964.50x = 230,154 × 230,154
  4. Step 4: Simplify right side
    105,964.50x = 52,970,863,716
  5. Step 5: Solve for x
    x = 52,970,863,716/105,964.50
  6. Step 6: Final answer
    x = 499,892.55

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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.