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Finding the Third Proportional to 123,464.25 and 254,562.75

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Solution

The third proportional to 123,464.25 and 254,562.75 is: 524,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,464.25 : 254,562.75 = 254,562.75 : x
  2. Step 2: Convert to fraction form
    123,464.25/254,562.75 = 254,562.75/x
  3. Step 3: Cross multiply
    123,464.25x = 254,562.75 × 254,562.75
  4. Step 4: Simplify right side
    123,464.25x = 64,802,193,687.56
  5. Step 5: Solve for x
    x = 64,802,193,687.56/123,464.25
  6. Step 6: Final answer
    x = 524,866.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.