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Finding the Third Proportional to 123,439.50 and 265,610.25

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Solution

The third proportional to 123,439.50 and 265,610.25 is: 571,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,439.50 : 265,610.25 = 265,610.25 : x
  2. Step 2: Convert to fraction form
    123,439.50/265,610.25 = 265,610.25/x
  3. Step 3: Cross multiply
    123,439.50x = 265,610.25 × 265,610.25
  4. Step 4: Simplify right side
    123,439.50x = 70,548,804,905.06
  5. Step 5: Solve for x
    x = 70,548,804,905.06/123,439.50
  6. Step 6: Final answer
    x = 571,525.36

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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.