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Finding the Third Proportional to 151,682.63 and 204,195.94

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Solution

The third proportional to 151,682.63 and 204,195.94 is: 274,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,682.63 : 204,195.94 = 204,195.94 : x
  2. Step 2: Convert to fraction form
    151,682.63/204,195.94 = 204,195.94/x
  3. Step 3: Cross multiply
    151,682.63x = 204,195.94 × 204,195.94
  4. Step 4: Simplify right side
    151,682.63x = 41,695,980,891.50
  5. Step 5: Solve for x
    x = 41,695,980,891.50/151,682.63
  6. Step 6: Final answer
    x = 274,889.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.