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Finding the Third Proportional to 123,209.44 and 264,826.13

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Solution

The third proportional to 123,209.44 and 264,826.13 is: 569,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,209.44 : 264,826.13 = 264,826.13 : x
  2. Step 2: Convert to fraction form
    123,209.44/264,826.13 = 264,826.13/x
  3. Step 3: Cross multiply
    123,209.44x = 264,826.13 × 264,826.13
  4. Step 4: Simplify right side
    123,209.44x = 70,132,876,482.52
  5. Step 5: Solve for x
    x = 70,132,876,482.52/123,209.44
  6. Step 6: Final answer
    x = 569,216.76

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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.