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Finding the Third Proportional to 180,207 and 270,310.50

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Solution

The third proportional to 180,207 and 270,310.50 is: 405,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,207 : 270,310.50 = 270,310.50 : x
  2. Step 2: Convert to fraction form
    180,207/270,310.50 = 270,310.50/x
  3. Step 3: Cross multiply
    180,207x = 270,310.50 × 270,310.50
  4. Step 4: Simplify right side
    180,207x = 73,067,766,410.25
  5. Step 5: Solve for x
    x = 73,067,766,410.25/180,207
  6. Step 6: Final answer
    x = 405,465.75

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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.