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Finding the Third Proportional to 111,985.50 and 234,344.25

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Solution

The third proportional to 111,985.50 and 234,344.25 is: 490,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985.50 : 234,344.25 = 234,344.25 : x
  2. Step 2: Convert to fraction form
    111,985.50/234,344.25 = 234,344.25/x
  3. Step 3: Cross multiply
    111,985.50x = 234,344.25 × 234,344.25
  4. Step 4: Simplify right side
    111,985.50x = 54,917,227,508.06
  5. Step 5: Solve for x
    x = 54,917,227,508.06/111,985.50
  6. Step 6: Final answer
    x = 490,395.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.