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Finding the Third Proportional to 169,653 and 368,538

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Solution

The third proportional to 169,653 and 368,538 is: 800,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,653 : 368,538 = 368,538 : x
  2. Step 2: Convert to fraction form
    169,653/368,538 = 368,538/x
  3. Step 3: Cross multiply
    169,653x = 368,538 × 368,538
  4. Step 4: Simplify right side
    169,653x = 135,820,257,444
  5. Step 5: Solve for x
    x = 135,820,257,444/169,653
  6. Step 6: Final answer
    x = 800,576.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.