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Finding the Third Proportional to 180,732.38 and 270,551.75

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Solution

The third proportional to 180,732.38 and 270,551.75 is: 405,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,732.38 : 270,551.75 = 270,551.75 : x
  2. Step 2: Convert to fraction form
    180,732.38/270,551.75 = 270,551.75/x
  3. Step 3: Cross multiply
    180,732.38x = 270,551.75 × 270,551.75
  4. Step 4: Simplify right side
    180,732.38x = 73,198,249,428.06
  5. Step 5: Solve for x
    x = 73,198,249,428.06/180,732.38
  6. Step 6: Final answer
    x = 405,009.06

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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.