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Finding the Third Proportional to 168,311.63 and 368,295.38

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Solution

The third proportional to 168,311.63 and 368,295.38 is: 805,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,311.63 : 368,295.38 = 368,295.38 : x
  2. Step 2: Convert to fraction form
    168,311.63/368,295.38 = 368,295.38/x
  3. Step 3: Cross multiply
    168,311.63x = 368,295.38 × 368,295.38
  4. Step 4: Simplify right side
    168,311.63x = 135,641,483,246.39
  5. Step 5: Solve for x
    x = 135,641,483,246.39/168,311.63
  6. Step 6: Final answer
    x = 805,894.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.