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Finding the Third Proportional to 149,642.44 and 323,022.94

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Solution

The third proportional to 149,642.44 and 323,022.94 is: 697,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,642.44 : 323,022.94 = 323,022.94 : x
  2. Step 2: Convert to fraction form
    149,642.44/323,022.94 = 323,022.94/x
  3. Step 3: Cross multiply
    149,642.44x = 323,022.94 × 323,022.94
  4. Step 4: Simplify right side
    149,642.44x = 104,343,818,151.13
  5. Step 5: Solve for x
    x = 104,343,818,151.13/149,642.44
  6. Step 6: Final answer
    x = 697,287.61

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Why These Related Problems?

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