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Finding the Third Proportional to 180,290.81 and 280,277.72

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Solution

The third proportional to 180,290.81 and 280,277.72 is: 435,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,290.81 : 280,277.72 = 280,277.72 : x
  2. Step 2: Convert to fraction form
    180,290.81/280,277.72 = 280,277.72/x
  3. Step 3: Cross multiply
    180,290.81x = 280,277.72 × 280,277.72
  4. Step 4: Simplify right side
    180,290.81x = 78,555,599,627.70
  5. Step 5: Solve for x
    x = 78,555,599,627.70/180,290.81
  6. Step 6: Final answer
    x = 435,716.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.