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Finding the Third Proportional to 168,132.94 and 362,826.84

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Solution

The third proportional to 168,132.94 and 362,826.84 is: 782,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,132.94 : 362,826.84 = 362,826.84 : x
  2. Step 2: Convert to fraction form
    168,132.94/362,826.84 = 362,826.84/x
  3. Step 3: Cross multiply
    168,132.94x = 362,826.84 × 362,826.84
  4. Step 4: Simplify right side
    168,132.94x = 131,643,318,545.59
  5. Step 5: Solve for x
    x = 131,643,318,545.59/168,132.94
  6. Step 6: Final answer
    x = 782,971.62

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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.