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Finding the Third Proportional to 182,452.18 and 290,542.10

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Solution

The third proportional to 182,452.18 and 290,542.10 is: 462,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,452.18 : 290,542.10 = 290,542.10 : x
  2. Step 2: Convert to fraction form
    182,452.18/290,542.10 = 290,542.10/x
  3. Step 3: Cross multiply
    182,452.18x = 290,542.10 × 290,542.10
  4. Step 4: Simplify right side
    182,452.18x = 84,414,709,375.56
  5. Step 5: Solve for x
    x = 84,414,709,375.56/182,452.18
  6. Step 6: Final answer
    x = 462,667.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.