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Finding the Third Proportional to 150,514.88 and 325,839.38

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Solution

The third proportional to 150,514.88 and 325,839.38 is: 705,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,514.88 : 325,839.38 = 325,839.38 : x
  2. Step 2: Convert to fraction form
    150,514.88/325,839.38 = 325,839.38/x
  3. Step 3: Cross multiply
    150,514.88x = 325,839.38 × 325,839.38
  4. Step 4: Simplify right side
    150,514.88x = 106,171,298,300.39
  5. Step 5: Solve for x
    x = 106,171,298,300.39/150,514.88
  6. Step 6: Final answer
    x = 705,387.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.