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Finding the Third Proportional to 168,032.81 and 362,896.88

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Solution

The third proportional to 168,032.81 and 362,896.88 is: 783,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,032.81 : 362,896.88 = 362,896.88 : x
  2. Step 2: Convert to fraction form
    168,032.81/362,896.88 = 362,896.88/x
  3. Step 3: Cross multiply
    168,032.81x = 362,896.88 × 362,896.88
  4. Step 4: Simplify right side
    168,032.81x = 131,694,141,884.77
  5. Step 5: Solve for x
    x = 131,694,141,884.77/168,032.81
  6. Step 6: Final answer
    x = 783,740.63

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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.