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Finding the Third Proportional to 123,450.75 and 265,629.38

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Solution

The third proportional to 123,450.75 and 265,629.38 is: 571,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,450.75 : 265,629.38 = 265,629.38 : x
  2. Step 2: Convert to fraction form
    123,450.75/265,629.38 = 265,629.38/x
  3. Step 3: Cross multiply
    123,450.75x = 265,629.38 × 265,629.38
  4. Step 4: Simplify right side
    123,450.75x = 70,558,964,862.89
  5. Step 5: Solve for x
    x = 70,558,964,862.89/123,450.75
  6. Step 6: Final answer
    x = 571,555.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.