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Finding the Third Proportional to 123,314.63 and 265,344.75

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Solution

The third proportional to 123,314.63 and 265,344.75 is: 570,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,314.63 : 265,344.75 = 265,344.75 : x
  2. Step 2: Convert to fraction form
    123,314.63/265,344.75 = 265,344.75/x
  3. Step 3: Cross multiply
    123,314.63x = 265,344.75 × 265,344.75
  4. Step 4: Simplify right side
    123,314.63x = 70,407,836,352.56
  5. Step 5: Solve for x
    x = 70,407,836,352.56/123,314.63
  6. Step 6: Final answer
    x = 570,960.96

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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.