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Finding the Third Proportional to 168,945.75 and 252,916.88

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Solution

The third proportional to 168,945.75 and 252,916.88 is: 378,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,945.75 : 252,916.88 = 252,916.88 : x
  2. Step 2: Convert to fraction form
    168,945.75/252,916.88 = 252,916.88/x
  3. Step 3: Cross multiply
    168,945.75x = 252,916.88 × 252,916.88
  4. Step 4: Simplify right side
    168,945.75x = 63,966,945,659.77
  5. Step 5: Solve for x
    x = 63,966,945,659.77/168,945.75
  6. Step 6: Final answer
    x = 378,624.18

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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.