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Finding the Third Proportional to 183,529 and 406,363.50

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Solution

The third proportional to 183,529 and 406,363.50 is: 899,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,529 : 406,363.50 = 406,363.50 : x
  2. Step 2: Convert to fraction form
    183,529/406,363.50 = 406,363.50/x
  3. Step 3: Cross multiply
    183,529x = 406,363.50 × 406,363.50
  4. Step 4: Simplify right side
    183,529x = 165,131,294,132.25
  5. Step 5: Solve for x
    x = 165,131,294,132.25/183,529
  6. Step 6: Final answer
    x = 899,755.86

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