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Finding the Third Proportional to 186,950.25 and 411,279.75

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Solution

The third proportional to 186,950.25 and 411,279.75 is: 904,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,950.25 : 411,279.75 = 411,279.75 : x
  2. Step 2: Convert to fraction form
    186,950.25/411,279.75 = 411,279.75/x
  3. Step 3: Cross multiply
    186,950.25x = 411,279.75 × 411,279.75
  4. Step 4: Simplify right side
    186,950.25x = 169,151,032,760.06
  5. Step 5: Solve for x
    x = 169,151,032,760.06/186,950.25
  6. Step 6: Final answer
    x = 904,791.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.