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Finding the Third Proportional to 135,048 and 312,652

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Solution

The third proportional to 135,048 and 312,652 is: 723,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,048 : 312,652 = 312,652 : x
  2. Step 2: Convert to fraction form
    135,048/312,652 = 312,652/x
  3. Step 3: Cross multiply
    135,048x = 312,652 × 312,652
  4. Step 4: Simplify right side
    135,048x = 97,751,273,104
  5. Step 5: Solve for x
    x = 97,751,273,104/135,048
  6. Step 6: Final answer
    x = 723,826.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.