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Finding the Third Proportional to 182,123.44 and 275,725.13

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Solution

The third proportional to 182,123.44 and 275,725.13 is: 417,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,123.44 : 275,725.13 = 275,725.13 : x
  2. Step 2: Convert to fraction form
    182,123.44/275,725.13 = 275,725.13/x
  3. Step 3: Cross multiply
    182,123.44x = 275,725.13 × 275,725.13
  4. Step 4: Simplify right side
    182,123.44x = 76,024,344,556.27
  5. Step 5: Solve for x
    x = 76,024,344,556.27/182,123.44
  6. Step 6: Final answer
    x = 417,433.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.