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Finding the Third Proportional to 234,816.75 and 511,551

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Solution

The third proportional to 234,816.75 and 511,551 is: 1,114,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,816.75 : 511,551 = 511,551 : x
  2. Step 2: Convert to fraction form
    234,816.75/511,551 = 511,551/x
  3. Step 3: Cross multiply
    234,816.75x = 511,551 × 511,551
  4. Step 4: Simplify right side
    234,816.75x = 261,684,425,601
  5. Step 5: Solve for x
    x = 261,684,425,601/234,816.75
  6. Step 6: Final answer
    x = 1,114,419.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.