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Finding the Third Proportional to 202,077.56 and 280,972.69

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Solution

The third proportional to 202,077.56 and 280,972.69 is: 390,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,077.56 : 280,972.69 = 280,972.69 : x
  2. Step 2: Convert to fraction form
    202,077.56/280,972.69 = 280,972.69/x
  3. Step 3: Cross multiply
    202,077.56x = 280,972.69 × 280,972.69
  4. Step 4: Simplify right side
    202,077.56x = 78,945,651,120.97
  5. Step 5: Solve for x
    x = 78,945,651,120.97/202,077.56
  6. Step 6: Final answer
    x = 390,670.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.