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Finding the Third Proportional to 168,657.19 and 368,015.91

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Solution

The third proportional to 168,657.19 and 368,015.91 is: 803,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,657.19 : 368,015.91 = 368,015.91 : x
  2. Step 2: Convert to fraction form
    168,657.19/368,015.91 = 368,015.91/x
  3. Step 3: Cross multiply
    168,657.19x = 368,015.91 × 368,015.91
  4. Step 4: Simplify right side
    168,657.19x = 135,435,707,253.01
  5. Step 5: Solve for x
    x = 135,435,707,253.01/168,657.19
  6. Step 6: Final answer
    x = 803,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.