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Finding the Third Proportional to 128,338 and 309,180

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Solution

The third proportional to 128,338 and 309,180 is: 744,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,338 : 309,180 = 309,180 : x
  2. Step 2: Convert to fraction form
    128,338/309,180 = 309,180/x
  3. Step 3: Cross multiply
    128,338x = 309,180 × 309,180
  4. Step 4: Simplify right side
    128,338x = 95,592,272,400
  5. Step 5: Solve for x
    x = 95,592,272,400/128,338
  6. Step 6: Final answer
    x = 744,847.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.