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Finding the Third Proportional to 135,734.48 and 292,279.64

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Solution

The third proportional to 135,734.48 and 292,279.64 is: 629,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,734.48 : 292,279.64 = 292,279.64 : x
  2. Step 2: Convert to fraction form
    135,734.48/292,279.64 = 292,279.64/x
  3. Step 3: Cross multiply
    135,734.48x = 292,279.64 × 292,279.64
  4. Step 4: Simplify right side
    135,734.48x = 85,427,388,323.88
  5. Step 5: Solve for x
    x = 85,427,388,323.88/135,734.48
  6. Step 6: Final answer
    x = 629,371.30

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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.