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Finding the Third Proportional to 180,582.75 and 270,284.38

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Solution

The third proportional to 180,582.75 and 270,284.38 is: 404,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,582.75 : 270,284.38 = 270,284.38 : x
  2. Step 2: Convert to fraction form
    180,582.75/270,284.38 = 270,284.38/x
  3. Step 3: Cross multiply
    180,582.75x = 270,284.38 × 270,284.38
  4. Step 4: Simplify right side
    180,582.75x = 73,053,643,369.14
  5. Step 5: Solve for x
    x = 73,053,643,369.14/180,582.75
  6. Step 6: Final answer
    x = 404,543.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.