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Finding the Third Proportional to 168,314 and 368,300

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Solution

The third proportional to 168,314 and 368,300 is: 805,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,314 : 368,300 = 368,300 : x
  2. Step 2: Convert to fraction form
    168,314/368,300 = 368,300/x
  3. Step 3: Cross multiply
    168,314x = 368,300 × 368,300
  4. Step 4: Simplify right side
    168,314x = 135,644,890,000
  5. Step 5: Solve for x
    x = 135,644,890,000/168,314
  6. Step 6: Final answer
    x = 805,903.79

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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.