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Finding the Third Proportional to 118,697.25 and 280,197.75

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Solution

The third proportional to 118,697.25 and 280,197.75 is: 661,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,697.25 : 280,197.75 = 280,197.75 : x
  2. Step 2: Convert to fraction form
    118,697.25/280,197.75 = 280,197.75/x
  3. Step 3: Cross multiply
    118,697.25x = 280,197.75 × 280,197.75
  4. Step 4: Simplify right side
    118,697.25x = 78,510,779,105.06
  5. Step 5: Solve for x
    x = 78,510,779,105.06/118,697.25
  6. Step 6: Final answer
    x = 661,437.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.