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Finding the Third Proportional to 154,796.63 and 236,198.71

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Solution

The third proportional to 154,796.63 and 236,198.71 is: 360,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,796.63 : 236,198.71 = 236,198.71 : x
  2. Step 2: Convert to fraction form
    154,796.63/236,198.71 = 236,198.71/x
  3. Step 3: Cross multiply
    154,796.63x = 236,198.71 × 236,198.71
  4. Step 4: Simplify right side
    154,796.63x = 55,789,829,203.23
  5. Step 5: Solve for x
    x = 55,789,829,203.23/154,796.63
  6. Step 6: Final answer
    x = 360,407.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.