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Finding the Third Proportional to 121,280.25 and 190,830.75

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Solution

The third proportional to 121,280.25 and 190,830.75 is: 300,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,280.25 : 190,830.75 = 190,830.75 : x
  2. Step 2: Convert to fraction form
    121,280.25/190,830.75 = 190,830.75/x
  3. Step 3: Cross multiply
    121,280.25x = 190,830.75 × 190,830.75
  4. Step 4: Simplify right side
    121,280.25x = 36,416,375,145.56
  5. Step 5: Solve for x
    x = 36,416,375,145.56/121,280.25
  6. Step 6: Final answer
    x = 300,266.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.