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Finding the Third Proportional to 149,851.69 and 321,024.94

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Solution

The third proportional to 149,851.69 and 321,024.94 is: 687,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,851.69 : 321,024.94 = 321,024.94 : x
  2. Step 2: Convert to fraction form
    149,851.69/321,024.94 = 321,024.94/x
  3. Step 3: Cross multiply
    149,851.69x = 321,024.94 × 321,024.94
  4. Step 4: Simplify right side
    149,851.69x = 103,057,010,496.88
  5. Step 5: Solve for x
    x = 103,057,010,496.88/149,851.69
  6. Step 6: Final answer
    x = 687,726.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.