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Finding the Third Proportional to 183,533 and 406,372

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Solution

The third proportional to 183,533 and 406,372 is: 899,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,533 : 406,372 = 406,372 : x
  2. Step 2: Convert to fraction form
    183,533/406,372 = 406,372/x
  3. Step 3: Cross multiply
    183,533x = 406,372 × 406,372
  4. Step 4: Simplify right side
    183,533x = 165,138,202,384
  5. Step 5: Solve for x
    x = 165,138,202,384/183,533
  6. Step 6: Final answer
    x = 899,773.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.