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Finding the Third Proportional to 195,324.66 and 293,506.97

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Solution

The third proportional to 195,324.66 and 293,506.97 is: 441,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,324.66 : 293,506.97 = 293,506.97 : x
  2. Step 2: Convert to fraction form
    195,324.66/293,506.97 = 293,506.97/x
  3. Step 3: Cross multiply
    195,324.66x = 293,506.97 × 293,506.97
  4. Step 4: Simplify right side
    195,324.66x = 86,146,340,704.81
  5. Step 5: Solve for x
    x = 86,146,340,704.81/195,324.66
  6. Step 6: Final answer
    x = 441,041.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.