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Finding the Third Proportional to 151,451 and 235,180

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Solution

The third proportional to 151,451 and 235,180 is: 365,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,451 : 235,180 = 235,180 : x
  2. Step 2: Convert to fraction form
    151,451/235,180 = 235,180/x
  3. Step 3: Cross multiply
    151,451x = 235,180 × 235,180
  4. Step 4: Simplify right side
    151,451x = 55,309,632,400
  5. Step 5: Solve for x
    x = 55,309,632,400/151,451
  6. Step 6: Final answer
    x = 365,198.20

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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.