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Finding the Third Proportional to 183,490.50 and 401,949

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Solution

The third proportional to 183,490.50 and 401,949 is: 880,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,490.50 : 401,949 = 401,949 : x
  2. Step 2: Convert to fraction form
    183,490.50/401,949 = 401,949/x
  3. Step 3: Cross multiply
    183,490.50x = 401,949 × 401,949
  4. Step 4: Simplify right side
    183,490.50x = 161,562,998,601
  5. Step 5: Solve for x
    x = 161,562,998,601/183,490.50
  6. Step 6: Final answer
    x = 880,497.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.