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Finding the Third Proportional to 123,083.88 and 265,000.19

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Solution

The third proportional to 123,083.88 and 265,000.19 is: 570,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,083.88 : 265,000.19 = 265,000.19 : x
  2. Step 2: Convert to fraction form
    123,083.88/265,000.19 = 265,000.19/x
  3. Step 3: Cross multiply
    123,083.88x = 265,000.19 × 265,000.19
  4. Step 4: Simplify right side
    123,083.88x = 70,225,099,375.04
  5. Step 5: Solve for x
    x = 70,225,099,375.04/123,083.88
  6. Step 6: Final answer
    x = 570,546.71

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Why These Related Problems?

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