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Finding the Third Proportional to 268,231.50 and 418,189.50

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Solution

The third proportional to 268,231.50 and 418,189.50 is: 651,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,231.50 : 418,189.50 = 418,189.50 : x
  2. Step 2: Convert to fraction form
    268,231.50/418,189.50 = 418,189.50/x
  3. Step 3: Cross multiply
    268,231.50x = 418,189.50 × 418,189.50
  4. Step 4: Simplify right side
    268,231.50x = 174,882,457,910.25
  5. Step 5: Solve for x
    x = 174,882,457,910.25/268,231.50
  6. Step 6: Final answer
    x = 651,983.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.