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Finding the Third Proportional to 180,500.38 and 280,622.38

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Solution

The third proportional to 180,500.38 and 280,622.38 is: 436,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,500.38 : 280,622.38 = 280,622.38 : x
  2. Step 2: Convert to fraction form
    180,500.38/280,622.38 = 280,622.38/x
  3. Step 3: Cross multiply
    180,500.38x = 280,622.38 × 280,622.38
  4. Step 4: Simplify right side
    180,500.38x = 78,748,917,350.64
  5. Step 5: Solve for x
    x = 78,748,917,350.64/180,500.38
  6. Step 6: Final answer
    x = 436,281.18

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Why These Related Problems?

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