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Finding the Third Proportional to 234,561.75 and 511,223.44

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Solution

The third proportional to 234,561.75 and 511,223.44 is: 1,114,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,561.75 : 511,223.44 = 511,223.44 : x
  2. Step 2: Convert to fraction form
    234,561.75/511,223.44 = 511,223.44/x
  3. Step 3: Cross multiply
    234,561.75x = 511,223.44 × 511,223.44
  4. Step 4: Simplify right side
    234,561.75x = 261,349,403,049.32
  5. Step 5: Solve for x
    x = 261,349,403,049.32/234,561.75
  6. Step 6: Final answer
    x = 1,114,202.99

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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.